Write an equation of the line that passes through the points (3.2) and (6,11). Show your work!

Answers

Answer 1

Answer:

[tex]y=3x-7[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the points given are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Points (3,2) and (6,11)

[tex]=\frac{11-2}{6-3}\\=\frac{9}{3}\\= 3[/tex]

Therefore, the slope of the line is 3. Plug this into [tex]y=mx+b[/tex]:

[tex]y=3x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=3x+b[/tex]

Plug in one of the given points and solve for b

[tex]2=3(3)+b\\2=9+b[/tex]

Subtract 9 from both sides

[tex]2-9=9+b-9\\-7=b[/tex]

Therefore, the y-intercept of the line is -7. Plug this back into [tex]y=3x+b[/tex]:

[tex]y=3x-7[/tex]

I hope this helps!


Related Questions

Help plz..And No links!! I repeat No links!!

Answers

Answer:54 is the54 d

Step-by-step explanation:

no sorry

Helppppppppp meeeeeeeeeeee

Answers

100 cubed. it’s the rad symbol with the 3 and then 100 on the inside

|48+(-6)|+|-35+7|

Please help me with this! Thank you!

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{|48 - 6| + |- 35 + 7|}[/tex]

[tex]\mathsf{|48 - 6| = \boxed{\bf 42}}[/tex]

[tex]\mathsf{= 42 +| -35 + 7|}[/tex]

[tex]\mathsf{|-35 + 7| = \boxed{\bf -28}}[/tex]

[tex]\mathsf{= 42 + |- 28|}[/tex]

[tex]\mathsf{= 42 + 28}[/tex]

[tex]\boxed{\mathsf{= \bf 70}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 70}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

What is the volume of the rectangular prism below

Answers

Answer:

D. 501,120mm^3

Step-by-step explanation:

Volume of a rectangle:

length x width x height

So, plug in what you know:

80*104.4*60=

501,120mm^3


[tex]\huge\mathfrak\green{please \: help...} \\ \\ \huge\mathfrak\red{5 {}^{2} + 6 {}^{2} = {?} ...}[/tex]

Answers

61 is a required answer.

Answer:

[tex]\boxed{5²+6²=5*5+6*6=25+36=61}[/tex]

Use the properties of logs to determine how many more times severe was the San Francisco earthquake? The severity is equal to the ratio below:

Answers

Answer:

The answer is "158.489"

Step-by-step explanation:

for san francisco earthquake:

[tex]\log(\frac{a_1}{T}) + B = 7.8\\\\\log(\frac{a_1}{T})+\log(10^{B}) = 7.8\\\\\log(\frac{a_1}{T} \times 10^{B})=7.8\\\\(\frac{a_1}{T} \times 10^B=10^{7.8}...............(i)[/tex]

similarly , for coloumbia earthquake:

[tex]\frac{a_2}{T}\times 10^B = 10^{5.6}.................(ii)[/tex]

divide equation (i) and (ii):

[tex]\frac{a_1}{a_2}=\frac{10^{7.8}}{10^{5.6}}\\\\\frac{a_1}{a_2}=10^{2.2}\approx 158.489[/tex]

What is the area of the square,in square units?
3/4 unit

Answers

Answer:

9/16

Step-by-step explanation:

The area of a square is given by

A = s^2 where s is the side length

A = (3/4)^2

A = 9/16

Aline having a slope of 3/4 passes through the point (-8,4) What would the
equation look like before you solve it, if you were plugging these numbers into the
slope-intercept equation (y=mx+b)?
HELP ME

Answers

Answer:

y=3/4x + 10

Step-by-step explanation:

First, lets put this into Point-Slope form: y-4 = 3/4(x+8)

Now, lets modify the equation in our favor, getting the "y" alone on the left hand side:  y-4 = 3/4(x+8)

                     +4                   +4

-----------------------------------------------

                  y=3/4(x+8)+4

Now, lets simplify....

                  y=3/4x + 6 + 4 = y = 3/4x+10

And we are done!

2x+1>
[tex]2x + 1 \geqslant 5 - x[/tex]
5-x​

Answers

What are we supposed solve for? Be for specific please


A supermarket sells various brands of peanut butter.
• Brand A costs $1.92 per jar, and each jar contains 12 ounces.
• Brand B costs $2.40 per jar, and each jar contains 16 ounces.
Which brand costs less per ounce

Answers

The second one. Cause the first one is .64$ per 4oz and the second one is .60$ per oz

Select the correct answer from each drop-down menu.
Complete the number sentence to represent finding the fair share of goldfish in each bowl.

Answers

Answer:

30/5=6

Step-by-step explanation:

There’s 30 fish put into five bowls, and there’s six fish in each

Very easy question I will mark you brainliest
1. Is 29 monomial or not monomial ?
Yes or No
2. 5x^7 monomial or not monomial
yes or no

Answers

Answer:

1. Yes

2. Yes

Step-by-step explanation:

A monomial is an algebraic expression consisting of one term. So, 29 is a monomial.

[tex]5x^{7}[/tex] has only one term. So, [tex]5x^{7}[/tex] is a monomial.


A study of a population of 102
parrakeets revealed that 4 out
of every 12 parakeets in the
population are blue.
Based on the results of this
study, how many parakeets in
the population are NOT blue?

Answers

Answer:

68

Step-by-step explanation:

4 out of 12 are blue.

Then 8 out 12 are not blue.

8 out of 12 is the same as the fraction 8/12 which can be reduced to 2/3.

2/3 of the birds are not blue.

2/3 of 102 = 2/3 * 102 = 68

Answer: 68

For the dinner special at a restaurant, the customer must choose an appetizer, an entree, a side dish, and a dessert.
Here are the items to choose from.
Choice
Possible items
Appetizer
Shrimp cocktail, Onion rings, Buffalo wings
Entree
Grilled chicken, Lamb, Roast turkey, Salmon
Side dish
French fries, Baked potato, Mixed vegetables, Rice, Pinto beans
Dessert
Brownies, Ice cream, Cheesecake, Apple pie
How many dinner specials are possible?

Answers

Answer:

A

Step-by-step explanation:

Answer:

320

Step-by-step explanation:

PLEASE HELP DUE TONIGHT (W/ WORK IF POSSIBLE) THANK YOU

Answers

The answer is c because I did it and got it right

Twice the complement of an angle is 25 less than 3 times the angle. Find the measure of both angles.

Answers

Answer:

Step-by-step explanation:

Let the angles size = x

The complement of the angle is 90 - x

Two times the compliment is 2*(90 - x)

Three times the angle is 3x

25 less than 3 times the angle = 3x - 25

Now you have to equate the two bolded pieces of information.

3x - 25 = 2(90 - x)                 Remove the brackets

3x - 25 = 180 - 2x                 Add 25 to both sides

     25      25

3x = 205 - 2x                         Add 2x to both sides.

2x              2x

5x = 205                                Divide by 5

5x/5 = 205/5

x = 41

The compliment of x = 90 - 41 = 49

The angle itself = 41

how would i solve this with a graph AND A FUNCTION TABLE?!?!?!?!?

y=-1/4x - 3

Answers

Answer: Slope= (-0.25), y-int= -3

Explanation: The standard form for an equation of a line is y=mx+b where the “m” stands for the slope and the “b” stands for the y-intercept.

Which is NOT a proposition
A. Marlon is eating his lunch
B. Will you be at school tomorrow.
C. The earth is rectangular
D. 10 + 5 = 15

Answers

Answer:the answer is b

Step-by-step explanation:reason being that the question will you be at school tmrw?cat be given a choice to say wether it’s true or false so Yh...I don’t know if that helped

Describe the relationship between ∠2 and ∠8

Answers

Answer:

Alternate Interior Angles

Step-by-step explanation:

Angles can be corresponding; alternate or same side; or interior or exterior. The angles 2 and 8 are on opposite sides of the transversal; this means that they must be alternate angles. Additionally, they are both within the parallel lines, so they are interior. Alternate interior angles are always congruent. Therefore, their measurements must be equal.

Answer:

They are alternate interior angles

Step-by-step explanation:

<2 and <8 are inside the parallel lines and on opposite sides of the transversal

They are alternate interior angles

Which of the following steps were applied to ABCD to obtain A'B'C'D'?


PLZZZZ HELP

Answers

Answer:

D

Step-by-step explanation:

Since all the points were shifted the same way, I'll just use point A and point A'.

Point A starts at (3,5) and A' is at (5,2)

If the subract the x coordinates: 5-3=2

Then subtract the y coordinates: 2-5=-3

The 2 is positive, so it is 2 units to the right (the positive x direction) and -3 is negative so 3 units down (negative y direction)

Given the function g(x) = 2x2 - 3


Is this statement true or false? g(2) = g(-2)

Answers

I guess this function is false couse
g(2)=5 but g(-2)= -11

And I don't know if what I analyzed is true or not...!!!

Need help on this please ASAP ????? DUE SOON

Answers

Answer:

[tex]33.5\:\mathrm{ft^3}[/tex]

Step-by-step explanation:

The volume of a cone is given by [tex]V=\frac{1}{3}\cdot r^2\pi\cdot h[/tex], where [tex]r[/tex] is the radius of the cone and [tex]h[/tex] is its height.

What we're given:

[tex]r[/tex] of 2 [tex]h[/tex] of 8

Solving, we get:

[tex]V=\frac{1}{3}\cdot 2^2\pi\cdot 8\approx\boxed{33.5}[/tex]

Answer:

The volume of cone is 33.5ft ³.

Step-by-step explanation:

Using Formula,

Volume of cone = 1/3 × π × r ² × h

Where, r is the radius and h is the height of the cone.

We have given

Radius of cone, r = 2 ft

Height of cone , h = 8 ft

substitute the values into the formula

Volume of cone = 1/3 × 3.14 × ( 2ft ) ² × 8ft

Volume of cone = 1/3 = 3.14 × 4 ft ²× 8ft

multiply

Volume of cone = 1/3 × 100.8 ft ³

divide, we get

Volume of cone = 33.50 ft ³.

Therefore,the volume of cone is 33.50 ft³.

Which Statement About The Data Is True? 52 56 60 64 68 72 76 80 A. The difference between the medians is about 4 times the range. B. The difference between the medians is about 4 times the IQR. C. The difference between the medians is about 2 times the range. D. The difference between the medians is about 2 times the IQR.

Answers

Answer:

The answer is "Option B".

Step-by-step explanation:

IQR for the first boxplot [tex]= Q_3 - Q_1 = 77-73 = 4[/tex]

IQR for the first boxplot [tex]= Q_3 - Q_1 = 63-59 = 4[/tex]

Calculating the median for the first boxplot [tex]= 76[/tex]

Calculating the median for the second boxplot [tex]= 60[/tex]

Calculating the difference:

[tex]\to 76-60 = 16[/tex]  

therefore, the difference between medians is about 4 times the IQR.

Answer:

B

Step-by-step explanation:

did the test

there is a population of 100,000 bacteria in a colony . if the number of bacteria doubles every 3 hours what will be 6 hours from now

Answers

Answer:

400,000 bacteria

Step-by-step explanation:

If we start at 100,000 and double every three hours until 6 hours, to colony will be at 400,000 bacteria.

First find out how many times it will double by dividing 6/3=2. It will double twice in 6 hours. Next double 100,000 once, to get 200,000. Then, double it once more to get to the final answer of 400,000 bacteria.

Hope this helps!

An isosceles triangle has a base of 20cm. The vertex angle is 80?. Find the length of each of the two equal sides of the triangle​

Answers

1234567891011234567890

pls help me ill give brainliest and no links pls ty!:)

Answers

Given : GH bisects ∠FGI

It means : ∠FGH and ∠HGI are equal

Given :

∠FGH = (5x - 8)°

∠HGI = (6x - 15)°

⇒  5x - 8 = 6x - 15

⇒  6x - 5x = 15 - 8

⇒  x = 7°

Substituting the value of x, We get :

∠FGH = 5(7) - 8 = (35 - 8) = 27°

∠HGI = 6(7) - 15 = (42 - 15) = 27°

∠FGI = ∠FGH + ∠HGI = (27 + 27) = 54°

Help please I need help

find X

Answers

Answer:

[tex]x = 145[/tex]

Step-by-step explanation:

1.Approach

To find the value of (x), one will have to take multiple steps. Since a straight line is (180) degrees, one can use this property. Subtract the measure of the exterior angle (the angle formed between the extension of the side of a triangle, and the side of a triangle) from (180) to find an expression to describe the measure of the angle inside the triangle.

Then one is given a regular octagon, using the sum of interior angles formula, find the measure of any interior angle. The vertical angles that when two lines intersect, the opposite angles are congruent. One can use this property to find the final unknown angle in the triangle.

It is known that the sum of angles in a triangle is (180). Use this to find the measure of (x).

2. Find the measure of two angles in the triangle

The degree measure of a straight angle is (180), therefore, when two angles form a straight line, their sum of (180). One can apply this here by stating,

[tex]x+(unknown)=180[/tex]

Solve for unknown,

[tex]unknown = 180 - x[/tex]

One can also state,

[tex]170+(unknown_2)=180[/tex]

Solve for the unknown,

[tex]unknown_2=10[/tex]

3.Find the degree measure of one of the angles in the octagon

The given octagon (eight-sided figure) is a regular octagon. By its definition, all of the sides in any regular polygon are congruent. This is indicated here, thus the octagon is a regular octagon. One property of a regular polygon is that all of the angles in the figure are cognrunet. This means that the sum of interior angles divided by the number of angles wil give one the measurement of each angle.

The formula to find the sum of interior angles in a polygon is as follows,

[tex]S=180(n-2)[/tex]

Where (n) is the number of sides. Since an octagon has (8) sides substitute this number into the formula and solve for the sum of angles,

[tex]S=180(n-2)\\\\S=180(8-2)[/tex]

Simplify,

[tex]S=180(8-2)\\\\S=180(6)\\\\S= 1080[/tex]

Now divide by the number of angles. The number of angles in an octagon is (8). Since this is a regular octagon, all of the angles are congruent, thus dividing the sum of angles by the number of angles will give on the measure of each angle.

[tex]1080[/tex] ÷ [tex]8 = 135[/tex]

4. Find the measure of the final angle in the triangle

The vertical angles theorem states that when two lines intersect, the angles opposite each other are congruent. Therefore, the final unknown angle in this triangle is equal to (135) degrees, because the angle opposite in the octagon is equal to (135) degrees.

5. Find the meausre of (x)

The sum of angles in any triangle is (180) degrees. Since one has found the measure or expression of the angle measure of each angle in a triangle, one can form an equation and solve for the unknown,

[tex](180-x)+(10)+(135)=180[/tex]

Simplify,

[tex]325-x=180[/tex]

Inverse operations,

[tex]325-x=180\\\\-x = -145\\\\x=145[/tex]

find the midpoint of Line ac ​

Answers

Answer:

-28

Step-by-step explanation:

-2-13=-15

-13-15=-28

Answer:

-28

Step-by-step explanation:

Which value for the constant d makes x=-1 an extraneous solution in the following equation? square 8-x = 2x + d. PLEASE

Answers

The value for the constant, d which makes x= -1 an extraneous solution is; d=5.

Which value for the constant d makes x=-1 an extraneous solution in the equation?

The constant d as given in the task content can be evaluated as follows where, x =-1;

√(8+1) + = 2(-1) +d

√9 = -2 +d

3 = -2 +d.

d = 5.

Read more on equations;

https://brainly.com/question/2972832

#SPJ1

Answer:

Step-by-step explanation:

True or False? The blue radius is perpendicular to the green cord.​

Answers

Answer:

true

Step-by-step explanation:

Answer:

False. if it was perpendicular than the segments would be equal

Step-by-step explanation:

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