The simplified form of the given expression, [tex]\frac{4x \times 1}{x^{-5} \times x^{-3} }[/tex] is equal to [tex]4x^{9}[/tex]
What are Exponents?
Powers or exponents are quantities that indicate how many times to multiply a base number by themselves.The base is the integer being raised by a power, while the exponent or power is the superscript number above it.For example, in the expression [tex]7^{5}[/tex], 7 is the base and 5 is the exponents, which implies that 7 multiplies 5 times by itself.What is the Product of Powers rule?
The Product of Powers rule is one of the seven major Laws of Exponents.According to this rule, if the bases are the same, then when multiplying two bases with different exponent value, the resulting answer is found by adding the exponents.It can be mathematically expressed using the formula, [tex]x^{m} \times x^{n} =x^{m+n}[/tex]In this question, the expression is [tex]\frac{4x \times 1}{x^{-5} \times x^{-3} }[/tex] ------(1)
Multiplying the values in the numerator, we get
[tex]\frac{4x \times 1}{x^{-5} \times x^{-3} }=\frac{4x}{x^{-5} \times x^{-3} }[/tex]
Now, the values in the denominator can be simplified using the Product of Powers rule.
The formula for the Product of Powers rule is given as, [tex]x^{m} \times x^{n} =x^{m+n}[/tex]
Simplifying the given expression using the Product of Powers rule, we get
[tex]\frac{4x \times 1}{x^{-5} \times x^{-3} }=\frac{4x}{x^{-5+(-3)} }\\\implies \frac{4x \times 1}{x^{-5} \times x^{-3} }=\frac{4x}{x^{-8} }[/tex] -----(2)
The formula for the Quotient of Powers rule is given as, [tex]\frac{x^{m} }{x^{n} } =x^{m-n}[/tex]
Simplifying the expression in (2) using the Quotient of Powers rule, we get
[tex]\frac{4x \times 1}{x^{-5} \times x^{-3} }=4x^{1-(-8)} \\\implies \frac{4x \times 1}{x^{-5} \times x^{-3} }=4x^{9}[/tex]
Therefore, the simplified form of the given expression is [tex]4x^{9}[/tex]
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Could you guys also show how you got it? Thanks!
After solving the linear equation in two variables we get the value of x=13 and y =-24/5
What is linear equation in two variable?
If an equation is written in the form axe + by + c=0, where a, b, and c are real integers and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero, then it is said to be a linear equation in two variables.
Examples of two-variable linear equations are 10x+4y = 3 and -x+5y = 2.
Such an equation has a pair of numbers as its solution, one for x and one for y, which further equalizes the two sides of the equation.
A system of linear equations in two variables can be solved using one of five techniques. These techniques are described below:
Method of GraphicalMethod of Cross Multiplication, Cross Multiplication MethodElimination MethodDeterminant Method2x+5y=2 multiply this equation by 2
we get,
4x+10y=4
And the other equation is :-
5x+10y=17
Subtracting both the equation we get :-
4x+10y=4
5x+10y=17
- - -
________
-x =-13
x=13
y=2-26/5
y=-4.8 or -24/5
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(x^2+12x-28) / (6x^2 ) ÷ (x-2) / x^2
Show all steps
/ <-- means divided by
Factorization is the reverse process of expansion of mathematical expression to simple terms. The factorized term is: [tex]\frac{x + 14}{6}[/tex]
Factorization is a procedure in which a given number of terms of a mathematical expression is reduced by collecting common terms. It involves reducing a given mathematical expression to a simple form of terms.
Given that:
[tex]\frac{x^{2}+ 12x - 28}{6x^{2} }[/tex] ÷ [tex]\frac{x - 2 }{x^{2} }[/tex]
[tex]\frac{x^{2}+ 12x - 28}{6x^{2} }[/tex] x [tex]\frac{x^{2} }{x -2}[/tex]
[tex]\frac{x^{2} + 12x - 28}{6(x - 2)}[/tex]
Factorizing the numerator, we have;
[tex]x^{2} + 12x - 28[/tex] = (x - 2) (x + 14)
So that,
[tex]\frac{(x- 2) (x + 14)}{6(x - 2)}[/tex]
[tex]\frac{(x + 14)}{6}[/tex]
Thus the factorized form of the given question is [tex]\frac{1}{6}[/tex](x - 14).
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Write a quadratic equation for the graph below:
The equation of the parabola would be [tex]y = \frac{1}{4}(x + 1)^2 - 4[/tex].
What is a parabola?
A parabola is a curve that is shaped like a U or a mirror image of a U. It is a type of conic section, which is a curve that is formed by the intersection of a plane and a cone.
The equation of a parabola can be written in the form y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola and a is a coefficient that determines the shape of the curve.
To find the equation of the parabola described in the problem, we can first find the values of h and k and then substitute them into the equation.
We know that the vertex of the parabola is (-1, -4). Therefore, h = -1 and k = -4.
Substituting these values into the equation y = a(x - h)^2 + k, we get:
y = a(x - (-1))^2 + (-4)
= a(x + 1)^2 - 4
Now we can use the fact that the parabola passes through the points (-5, 0) and (3, 0) to find the value of a.
Substituting x = -5 into the equation, we get:
y = a((-5) + 1)^2 - 4
= a(4)^2 - 4
= 16a - 4
Since the point (-5, 0) lies on the parabola, y must equal 0 when x = -5. Therefore, we have the equation 16a - 4 = 0. Solving for a, we find that a = 1/4.
Substituting this value back into the equation for y, we get:
[tex]y = \frac{1}{4}(x + 1)^2 - 4[/tex]
Hence, the equation of the parabola would be [tex]y = \frac{1}{4}(x + 1)^2 - 4[/tex].
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The equation of the parabola would be [tex]y=\frac{1}{4}(x+1)^2-4[/tex].
What is a parabola?
A parabola is a curve that is shaped like a U or a mirror image of a U. It is a type of conic section, which is a curve that is formed by the intersection of a plane and a cone.
The equation of a parabola can be written in the form y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola and a is a coefficient that determines the shape of the curve.
To find the equation of the parabola described in the problem, we can first find the values of h and k and then substitute them into the equation.
We know that the vertex of the parabola is (-1, -4). Therefore, h = -1 and k = -4.
Substituting these values into the equation y = a(x - h)^2 + k, we get:
y = a(x - (-1))^2 + (-4)
= a(x + 1)^2 - 4
Now we can use the fact that the parabola passes through the points (-5, 0) and (3, 0) to find the value of a.
Substituting x = -5 into the equation, we get:
y = a((-5) + 1)^2 - 4
= a(4)^2 - 4
= 16a - 4
Since the point (-5, 0) lies on the parabola, y must equal 0 when x = -5. Therefore, we have the equation 16a - 4 = 0. Solving for a, we find that a = 1/4.
Substituting this value back into the equation for y, we get:
[tex]y=\frac{1}{4}(x+1)^2-4[/tex].
Hence, the equation of the parabola would be [tex]y=\frac{1}{4}(x+1)^2-4[/tex].
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The tail of a 1-mile long train exits a tunnel exactly 3 minutes after the front of the train entered the tunnel. If the train is moving 60 miles per hour, how long is the tunnel? Hint : How far does the front of the train move in 3 minutes?
Answer:
The tail of a 1-mile long train exits a tunnel exactly 3 minutes after the front of the train entered the tunnel. If the train is moving 60 miles per hour, how long is the tunnel? Hint : How far does the front of the train move in 3 minutes?
Explanation
The front of the train moves 3 miles in 3 minutes. Therefore, the tunnel must be 1 mile long.
Answer:
2 miles long
Step-by-step :
The tail of the train starts one mile from the mouth of the tunnel and it must travel that distance plus the length of the tunnel in 3 minutes.
Let t = tunnel length
t + 1 = distance the tail must travel in 3 minutes.
3 minutes = 1/20 hr
(t+1) miles / 60 m/hr = 1/20 hr
t + 1 = 60/20
t+1 = 3
Subtract 1 from each side:
t = 2
The tunnel is 2 miles long.
911: Wang Xiu Ying has 109 dollars in her savings account. She has -21 dollars in her checking account. whats a inequality that compares the correct amount of values.
109 dollars in her savings account is greater than -21 dollars in her checking account, that is 109 > -21. When comparing values that may not be equal that is, when one value is bigger or less than another inequalities are utilised.
What is inequalities?An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.Both mathematical phrases, equations and inequalities, are created by connecting two expressions. The equal sign (=) indicates that two expressions in an equation are believed to be equivalent. The symbols >, <, ≤ or ≥. indicate that the two expressions in an inequality are not always equal.You can add the same amount to each side, take the same amount away from each side, multiply or divide each side by the same positive amount, and so on to solve an inequality. You must flip the inequality symbol if you multiply or divide each side by a negative number.To learn more about inequalities refer :
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Express the given statement in the form of expression.
5 less than three times a number x .
The expression to represent the above statement is
The statement 5 less than three times a number x is expressed as an expression to 3x - 5
What is an algebraic expression?An algebraic expression can be described as an expression made up of coefficients, terms, factors, variables and constants.These expressions are also composed of some mathematical and arithmetic operations.
They include;
Addition
Division
Multiplication
Subtraction
Parentheses
Bracket, etc
From the information given, we have that; The number is x. The number is 5 times lesser than three times the value of xThis can be represented as; 3x - 5
Hence, the expression represented is 3x - 5
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How much fertilizer is needed for a 200 square-foot garden
Answer:2 to 4 pounds per
Step-by-step explanation:
Is (r-4) a factor of 6r^4-17r^3-46r^2+77r-20? What are the steps and how would you know if it’s a factor?
Answer:
see explanation
Step-by-step explanation:
By the Factor theorem, if (x - a) is a factor of f(x) then f(a) = 0
if (r - 4) is a factor then substituting r = 4 into the polynomial should result in it having a value of zero, that is
6[tex]r^{4}[/tex] - 17r³ - 46r² + 77r - 20 ( substitute r = 4 )
= 6[tex](4)^{4}[/tex] - 17(4)³ - 46(4)² + 77(4) - 20
= 6(256) - 17(64) - 46(16) + 308 - 20
= 1536 - 1088 - 736 + 288
= 0
Then (r - 4) is a factor of the polynomial
Help i’m lost please
Answer:
Step-by-step explanation:
A: If she were to travel 1 block every minute it would take 24 minutes because there are 24 blocks but if she were to travel two blocks every minute it would take 12 minutes because 24/2 is 12.
B: 1=24, 2=12, 3=8, 4=6, 6=4, 8=3, 10=2 4/10, 12=2, and 24=1
C: The speed causes the time to change because the faster she goes the quicker she will get there.
D: No, because the time it takes her constantly changes with there being no constant rate.
21 is what percent of 25?
Answer:
84%
Step-by-step explanation:
21/25=?/100 ==> decimal value is dividing a number by 100
100 * 21/25=100 * ?/100 ==> percent value is multiplying a decimal by 100
2100/25 = ? ==> solve for ?
? = 84%
Answer:
21 is 84% of 25
please mark brilliant
Select Repeating or Nonrepeating to correctly classify each decimal.
0.192 with a line over the 2
0.314 with a line over the
0.5353...
0.7777
please answer fast
Answer:
[tex]\sf 0.19\overline{2} \quad Repea\:\!ting[/tex]
[tex]\sf 0.\overline{314} \quad Repea\:\!ting[/tex]
0.5353... Repeating
0.7777 Non-repeating
Step-by-step explanation:
A repeating decimal is a decimal number with a digit (or group of digits) that repeats forever.
There are three ways to show a repeating decimal:
Several duplicates of the repeating digit or block of digits, followed by an ellipsis, e.g. 0.3333... or 0.123123...A dot or a line above a repeated digit, e.g. [tex]\sf 0.\.{3}[/tex] or [tex]\sf 0.\overline{3}[/tex]A line above a repeating block of multiple digits, e.g. [tex]\sf 0.\overline{123}[/tex][tex]\sf 0.19\overline{2}[/tex]
This is a repeating decimal as the line over the "2" means that this digit repeats forever.
[tex]\sf 0.\overline{314}[/tex]
This is a repeating decimal as the line over the "314" means the group of digits 314 repeats forever, e.g. 0.314314314...
0.5353...
This is a repeating decimal as there are two duplicates of the repeating block of digits "53" followed by an ellipsis.
0.7777
This is non-repeating decimal as there are no dots or lines above any of the digits, nor an ellipsis after the repeating digits.
A fish was swimming 2 1/2 feet below the water's surface at 1:00 p.m. Three hours later, the fish was at a depth that is 3 1/4 feet below where it was at 1:00 p.m. What rational number represents the position of the fish with respect to the water's surface at 4:00 p.m. ?
The fish's position with respect to the water's surface at 4:00 p.m. is 3/4.
What is a fraction?
Any number of equal parts is represented by a fraction, which also means a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.
Here, we have
Based on the given conditions, formulate: 3 1/4 - 2 1/2
Remove the parentheses: 3 + 1/4 - 2 - 1/2
Reorder and combine like terms: (3-2)+1/4 - 1/2
Calculate the sum or difference: 1+ 1/4 - 1/2
Expand the fraction to get the least common denominator: 4/(1×4) + 1/4 - 2/(2×2)
Calculate the product or quotient: 4+1/4 - 2/(2×2)
Calculate the product or quotient: 4 + 1/4 - 2/4
Write the numerators over the common denominator: 4 + 1 -2/4
Calculate the sum or difference: 5 - 2/4
Calculate the sum or difference: 3/4
Hence, the fish's position with respect to the water's surface at 4:00 p.m. is 3/4.
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HELP MEE!!! 25 points!!
Solve. What is x in the inequality? x– (–11) ≤ 1
Answer:
x≤−10
Step-by-step explanation:
x−(−11)≤1
Step 1: Simplify both sides of the inequality.
x+11≤1
Step 2: Subtract 11 from both sides.
x+11−11≤1−11
x≤−10
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Express the solutions of -34
For the expression -34 < x < 10, interval notation, builder notation and graphical solution is shown below.
What is number line?A number line is a line on which numbers are pointed at some intervals, it is used to show numerical operations.
The given expression is -34 < x < 10
The interval notation of the expression -34 < x < 10 is given as,
x ∈ (-34, 10)
The builder notation of the expression -34 < x < 10 can be given as,
{x | -34 < x < 10}
The graphical solution of the expression -34 < x < 10 is given below.
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Find the value of e4.243 to the nearest ten thousandth.
Answer:
Step-by-step explanation:
4.2430
This equation has one solution.5(x – 1) + 3x = 7(x + 1)What is the solution?
The solution of the given equation is x = 12. The solution is the value, that satisfies the given equation.
What is a solution for an equation?A solution is a value, that satisfies the equation. A solution is also said to be a root for the equation. Depending upon the degree of the variable, the number of solutions for that equation is defined.Calculation:Given equation is 5(x - 1) + 3x = 7(x + 1)
On simplifying the equation, we get
5(x - 1) + 3x = 7(x + 1) ⇒ 5x - 5 + 3x = 7x + 7
⇒ 8x - 5 = 7x + 7
⇒ 8x - 7x = 7 + 5
⇒ x = 12
Therefore, the solution for the given equation is x = 12.
Here, the power or the degree of the variable x is 1 in the given equation. Thus, it has only one solution.
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please I need help on some math bro this my test
D
Question 6
Is this a function? Explain, why or why not!
Edit View Insert Format Tools Table
12pt
Paragraph | BI U Av v ²0.
B
>
>
100 pts
By using the concept of function, it can be seen that the given graph represents a function.
What is a function?
A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.
There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.
Here the values on the x axis represents the domain and the values on the y axis represents the Range.
From the graph it can be seen that
Every point of the domain maps to unique point on the range.
So this is a function
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The second side of a triangular deck is 5 feet longer than the shortest side, and the third side is 5 feet shorter than twice the length of the shortest side. If the perimeter of the deck is 56 feet, what are the lengths of the three sides?
The lengths of the three sides are 14 feet, 19 feet and 23 feet respectively.
How to determine the length of the sidesThe formula for determining the perimeter of a triangle is expressed as;
Perimeter = a + b + c
Where; a, b and c are the length of the sides
From the information given, we have that;
y = 5 + zx = 2z - 5Perimeter = 5656 = 2z- 5 + 5 + z + z
collect like terms
56 = 4z
Make 'z' the subject of formula
z = 56/4
z = 14
Shortest side, z = 14 feet
Second side, y = 5 + z = 19 feet
Third side, x = 2z - 5 = 2(14) - 5 = 23 feet
Hence, the values are 14 feet, 19 feet and 23 feet respectively.
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PLEASE PLEASE PLEASE HELP ASAP
Problem: A freight train leaves Denver at 10:00 pm heading east at 20 mph. Another freight train leaves an hour later from the same station, and also heads east at 25 mph.
What time will the second freight train catch up with the first one?
The second train catches up with the first one at
If another freight train leaves an hour later from the same station and also heads east at 25 mph. The second freight train catches up with the first one by 11:12 pm.
What is the distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
The relative speed for the given condition is,
=25 mph - 20mph
=5 mph
Relative distance = relative speed × time
Relative distance = 5 mph × 1 hour
Relative distance = 5 miles
The time will the second freight train catch up with the first one is obtained as,
Distance = speed × time
5 miles = 25 mph × t
t = 5 / 25
t=0.2 hour
1 hour = 60 minute
0.2 hour = 60 × 0.2
0.2 hour = 12 minute
=10:00 + 60:00 +12:00
=11:12
Thus, if another freight train leaves an hour later from the same station and also heads east at 25 mph. The second freight train catches up with the first one by 11:12 pm.
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Find the value of X.
The value of x is 69°.
What is a quadrilateral?
A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon. In order to create it, four non-collinear points are joined.
Given that ABCD is a quadrilateral.
The diagonal AC divides the quadrilateral into 2 triangles △ABC and △ACD.
The length of sides AC and CB of the △ABC is same. Thus △ABC is isosceles triangle. Therefore ∠BAC = ∠ABC = x°.
Similarly, the length of sides AC and CD of the △ADC is same. Thus △ADC is isosceles triangle. Therefore ∠CAD = ∠CDA = 66°
Given that ∠DCB = 90°.
∠A = ∠CAD + ∠BAC = 66° + x°
The sum of all interior angle of a quadrilateral is 360°.
Therefore,
∠A + ∠B + ∠C + ∠D = 360°
66° + x° + x° + 90° + 66° = 360°
Add to the like terms:
222 + 2x = 360
Subtract 222 from both sides:
2x = 138
x = 69
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help me please points
The value of x in the linear inequality 5/8x - 1 ≥ 9 is x ≥ 16
Linear InequalityLinear inequalities are the expressions where any two values are compared by the inequality symbols such as, ‘<’, ‘>’, ‘≤’ or ‘≥’. These values could be numerical or algebraic or a combination of both.
An inequality represents the mathematical expression in which both sides are not equal. If the relationship makes the non-equal comparison between two expressions or two numbers, then it is known as inequality. In this case, the equal sign “=” in the expression is replaced by any of the inequality symbols such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤) or not equal to symbol (≠).
In the problem given;
5/8x - 1 ≥ 9
Solving for x in the inequality;
x ≥ 16 which can be represented using an interval notation as [16, ∞)
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Please, help me solve.
Answer:
The answer is 81.85%
Step-by-step explanation:
Given;μ = 116σ = 14The z score is used to determine by how many standard deviations the raw score is above or below the mean.
The z score is given by:
z = x - μ/σ
where,
x = raw scoreμ = meanσ = standard deviationFor x = 88
z = 88 - 116/14
z = (-2)
For x = 130
z = 130 - 116/14
z = (1)
Thus,
P(88 < x < 130) = P(-2 < z < 1)
= P(z < 1) - P(z < -2)
= 0.8413 - 0.0228 = 81.85%
Thus, 81.85% of the population would be between 88 and 130.
thankss. STEP BY STEP??
Answer:
4
Step-by-step explanation:
Constant of proportionality is the same as slope in the context of a linear function, which is defined as Δy / Δx. We can find this by taking two points and finding the difference in their x- and y-coordinates.
I'll use (1, 4) and (2, 8).
[tex]\textrm{slope}=\dfrac{8-4}{2-1} = \dfrac{4}{1} = 4[/tex]
To win the game, the team must score at least 8 goals. What inequality represents the number of goals, g, the team must score? Drag and drop the appropriate symbol to complete the inequality. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. g 8
The inequality represent the number of goals the team must score g ≥ 8.
What is inequality?An inequality show the relationship between two values in an algebraic equations that are probably not equal.
The statement about a game in which various teams are the playing:
It is given that To win that game, the team must scores at least 8 goals.
The meaning of word at least is that , the team can score either 8 goals or more than the 8 goals.
So, we will write this situation in terms of the inequality as follows:
The value of g will be greater than or equal to 8.
= g ≥ 8.
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The mass of the Earth is 5.97 × 1024 kg and the mass of Jupiter is 1.90×10²7.
This expression can be used to find the ratio.
What is the ratio of the mass of Earth to the mass of Jupiter?
The ratio of the mass of Earth to the mass of Jupiter is equal to 3.14*10⁻³, thus option B is correct.
What is ratio?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)
Given, the mass of Earth = 5.97*10²⁴ kg
Also, mass of Jupiter = 1.90*10²⁷ kg
Hence, ratio of mass of Earth to Jupiter is calculated by dividing mass of Earth upon the mass of Jupiter.
Ratio = (5.97*10²⁴/1.90*10²⁷ )
= 3.14*10²⁴⁻²⁷
= 3.14*10⁻³
Thus, the ratio of the mass of Earth to the mass of Jupiter is equal to 3.14*10⁻³, thus option B is correct.
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!What is the range of temperatures in the data STEM AND LEAF!
The temperature on February 2 in Lake City was 14°F. The temperature in Ellenville the
same day was -6°F. How much warmer was it in Lake City than in Ellenville?
To solve the problem, Gabby subtracted 14 - (-6) and came up with an answer of 8°F. Is
Gabby correct? Why or why not?
Yes, Gabby is correct.
No. The answer should have been 20°F, not 8°F, because subtracting a
negative number is the same as adding its opposite.
No. Gabby should have added -6 + 14 because the temperature in Lake City
was warmer.
Yes, Gabby is correct. Lake city is warmer at 8F than Ellenville.
What is temperature?Temperature is defined as the sum of the kinetic energies of all the atoms or molecules in a substance. The kinetic energy of a substance's constituent particles varies. A distribution can be used to depict the particles' kinetic energy at any particular moment.
How temperature is measured?Temperature is measured in Fahrenheit, Celsius and Kelvin.
As minus sign with the temperature depicts cold and hot and it have to do nothing with the calculation. The correct way is 14-6 = 8f. So Gabby is correct. We will not consider minus sign with six in calculations.
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the researcher does not need to report the dates when the survey was done because it is not relevant to the results. group of answer choices true false
The dates the survey was conducted are not crucial to the findings, so the researcher is not required to report them. It is "false" to say that.
Explain the importance of data in survey?This information is thorough data that was acquired from the a target audience regarding a particular subject to perform research.
The methods for gathering survey data and doing statistical analysis are numerous. The required sample of people's input and opinions are gathered through a variety of media.With key stakeholders, particularly customers and staff, surveys are a useful data collecting and analysis technique that are frequently used to identify requirements or gauge satisfaction.Data are essential for characterizing, calibrating, confirming, validating, and evaluating models that forecast the long-term structural performance and effectiveness of materials in harsh settings. Many models would be useless without sufficient data to validate and evaluate them.Thus, it is "false" to say that the dates the survey was conducted are not crucial to the findings, so the researcher is not required to report them.
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I need help please I dont get this .
Answer:
Below
Step-by-step explanation:
The line has negative slope and y-axis intercept = 2 from inspection
two points on the line are needed to calculate the slope
find two easy to work-with points
like (-3,4) and (4,-1)
slope = (y1-y2) / ( x1-x2) = (4 - -1) / ( -3-4) = -5/7
Slope intercept form y = mx +b m is slope b is intercept of y-axis
soooo ... y = -5/7 x + 2
The graph is rather fuzzy:
I looked a little longer and decided points (-4,5) and (4,-1) may be more accurate:
slope = 5--1 / -4-4 =- 6/8 so then the answer would be y = -3/4x + 2