Mathematics High School

What is the equation of the line that passes through the point (-3,-6) and (2,-2)

Answers

Answer 1

Answer:

[tex]y=\frac{4}{5}x-\frac{18}{5}[/tex]

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the point (-3, -6) and (2, -2)

There are 3 ways to write the equation of the line:

In slope-intercept form, which is y=mx+b, where m is the slope and b is the y interceptIn point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1,y_1)[/tex] is a pointIn standard form, which is ax+by=c, where a, b, and c are integer coefficients, but a and b cannot be zero, and a cannot be negative

The easiest way would either be slope-intercept or point-slope form, but let's write the equation in slope-intercept form, since it's the most common way

So we'll need to find the slope

The formula for the slope calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have everything needed to find the slope, let's just label the values of the points to avoid any confusion:

[tex]x_1=-3\\y_1=-6\\x_2=2\\y_2=-2[/tex]

Now substitute these values into the formula. Remember that m is the value of the slope:

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

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

Simplify the fraction:

m=[tex]\frac{-2+6}{2+3}[/tex]

Add the numbers together:

m=[tex]\frac{4}{5}[/tex]

So the slope of the line is 4/5

Let's plug it into the formula y=mx+b, since we now know the value of m

y=[tex]\frac{4}{5}[/tex]x+b

Now let's find b

As the equation passes through both (-3, -6) and (2, -2), we can use either point to help solve for b

Either point works, but let's take (2, -2) for instance

Substitute 2 as x and -2 as y

-2=4/5(2)+b

Multiply

-2=8/5+b

subtract 8/5 from both sides

-18/5=b

Now substitute -18/5 as b into the equation:

[tex]y=\frac{4}{5}x-\frac{18}{5}[/tex]

Hope this helps!

Related Questions

I will give brainiest if you answer it and give a explanation.

Answers

Answer:

x = 35

Step-by-step explanation:

The angle marked 125° is angle DPE. The (vertical) angle formed from the rays opposite PD and PE is angle BPA. That angle is divided into two parts by ray PC. One of those parts is angle CPA, shown as 90°. The other part is angle CPB, shown as x°. This means ...

angle DPE = angle BPA . . . . vertical angles have the same measure

125° = 90° +x°

35 = x . . . . . . . . . . divide by °, subtract 90

1/3(12-9y) distributive property

Answers

Answer:

4 - 3y

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] (12 - 9y) ← multiply each term in the parenthesis by [tex]\frac{1}{3}[/tex]

= 4 - 3y

The simplification of 1/3(12-9y) using distributive property is 4 - 3y

What is distributive property?

According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

For example, 2( x +y ) can be simplified as 2 × x + 2 × y

= 2x + 2y. This is distributive property.

Similarly, ⅓( 12- 9y) can be simplified as

(1/3 × 12) - (1/3 × 9y)

= 4 - 3y

Therefore 1/3(12-9y) is equivalent to 4 - 3y

learn more about distributive property from

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Which one is linear or nonlinear?

Answers

Answer:

broo I have to download it just take a screenshot.....

Find the value of each variable.
I have been stuck on these for a week now. Please help.

Answers

Answer:

Step-by-step explanation:

the varible would be x

PLZ HELP ME with this hw

Answers

C because from the eqn :AB=AD=DC=BC so it is a parallelogram or a rhombus

Help? I can't get a hold of it.
|1 + 2x| + |5 − 3x| − |−5x − 8 | , is x < −10
Simplified expression is:

Answers

Answer:

steps below

Step-by-step explanation:

x < -10

|1+2x| < 0 ∴ |1+2x| = -(1+2x)

|5 − 3x| > 0 ∴ |5 − 3x| = 5-3x

|−5x − 8 | > 0 ∴ |−5x − 8 | = -5x-8

|1 + 2x| + |5 − 3x| − |−5x − 8 |

= -(1+2x) + (5-3x) - (-5x-8)

= (-2x - 3x + 5x) + (-1 + 5 + 8)

= 12

Write an equation of the line in slope intercept form (-2,4) (0,0)

Answers

Answer:

y = -2x

Step-by-step explanation:

Slope = (change in y-values)/(change in x-values)

Slope = (0 - 4)/(0 - (-2)

Slope = -4/2

Slope = -2

Use the slope = -2 and point (0, 0) and substitute into y= mx + b to solve for b

y = mx + b

0 = -2(0) +b

0 = b

The equation of the line y = -2x + 0 or y = - 2x

HELPPPPPPPPPPP! I will give brainliest to person who answers
Chanelle selects a marble from the container and then returns it to the container. When she does this 3 times, the probability of choosing a red marble all 3 times is 1/216. based on this info, what is the probability of Chanelle choosing a red marble the first time she selects a marble? (1) 1/72 (2) 1/36 (3) 1/8 (4) 1/6

Answers

Answer:

Step-by-step explanation:

I just multiplied 6 three times by itself to get 216 and that is how I got 1/216 or 4 as the answer

Answer:

1/6

Step-by-step explanation:

1/216 is the same as 1/6*1/6*1/6. This is 3 times, so the probability is 1/6.

a sequence is given by the rule 4n^2
work out the 3rd term in the sequence

Answers

Answer: See below.

Step-by-step explanation:

See attachment. It depends on what is considered the "third" term. If n=2 then the result is 16. If 3, the result is 36.

PLS HELP ASAP PLS I RLLY NEED HELP.

Answers

Answer:

THE ANWSER IS A

Step-by-step explanation:

YOU JUST DEVIDE THE REGULAR FRACTION AND PUT IT IN ORDER FROM THERE

Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality
on a number line.

Answers

Answer:

whats your equation?

Step-by-step explanation:

Ill edit my answer after.

Answer:

Step-by-step explanation: Sorry if im late

Solve for j.
3j+1≥10

67 points

:D

Answers

3j+1≥10

Subtract 1 from both sides.

3j ≥ 9

Then divide both sides by 3.

j ≥ 3

3j+1>=10
Take the one to the other side by -1 on both sides
3j>=10-1
3j>=9
Divide both sides by 3
3/3j>=9/3
1j>=3
J>=3

70% of Hassan's collection of goldfish died. if he has 60 survivors, how many did he have originally?

Answers

Hassan originally had 200 goldfish

Step-by-step explanation:

Multiply 60 by 100, which will get you 6,000, then divide by 30 to get 200. The 100 is for the total percentage, the 30 is the percentage left.

Answer:

200goldfish

Step-by-step explanation:

since 30percent(100_70)is60 what about 100percent

100percent/30percent multiplied by 60goldfish=200

Therefore the answer is 200goldfish

One thousand families were surveyed to
determine the distribution of families by size. The
results follow.
Family Size 2
3
4
5 6 7 8
Frequency
350
200 245 125
66
10
To the nearest percent, the probability that a given
family has 3 people is [? ]%.

Answers

Answer:

Step-by-step explanation:

probability of an event: number of events that satisfy the criteria/ total number of events

number of events that satisfy the criteria (in this case the number of families with three people)= 200

total number of events= 1000

200/1000= 20%

there were 230 leprechauns in school this year last year there were 175 leprechauns what is the percent change in the number of leprechauns.

Answers

Answer:

0.55%

Step-by-step explanation:

230÷100=2.30%

175÷100=1.75%

2.30-1.75=0.55%

I think ‍♂️

Which of the following statements justifies why the triangle shown below is not a right triangle?
Z
O A. 42 +122132
OB. YZ + XZ > XY
OC. XZ O D. YZ SUBMIT
please help

Answers

None of the options are correct. And the given triangle is a right-angle triangle.

Given that,
Which of the following statements justifies why the triangle shown below is not a right triangle is to be determined.

What is the triangle?

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
A triangle that follows the Pythagoras theorem, are right an angles triangle,
For the given triangle,?
13² = 4² + 12²
169 = 25 + 144
169 = 169
So, the given triangle holds the property of Pythagoras' theorem,

Thus, None of the options are correct. And the given triangle is a right-angle triangle.

Learn more about triangles here:
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Calculate the volume of a similar channel whose radius 1.5m. I need help in checking is A is correct and please send B with working if possible 3 first to answer gets ranked

Answers

Answer:

252.21m

Step-by-step explanation:

Times it by 3 and that should give you the answer you are looking for. Please mark it as brainliest

in figure below, lines r and s are parallel. If the m<1=47° , find:

Answers

Answer:

<3 = 47 degrees

<4 = 133 degrees

<5 = 47 degrees

<6 = 133 degrees

<7 = 47 degrees

<8 = 133 degrees

Angles 1 = 3 = 5 = 7 (vertical angles

Step-by-step explanation:

Find the value of x and angle AKB

Answers

x = 3 and angle AKB = 11

Pls help me on this

Answers

Answer:

I don't understand anything. if I was know of course I will help you

you are given a fraction in simplest form. the numerator is not zero.when you write the fraction as a decimal,it is a repeating decimal. which numbers from 1 to 10 could be the denominator

Answers

Answer:

3, 6, 7, 9

Step-by-step explanation:

We can take a look at each value from 1 to 10

We see that for 3, 6, 7, and 9 the decimal repeats forever for some numerators. For example, 1/3 repeats forever, 4/6 repeats forever, 5/7 repeats forever, 1/9 repeats forever.

given the binomial (x+a) and (b), how would you find the product?

Answers

Answer:

bx + ba

Step-by-step explanation:

Product is multiplication

[Given] (x+a) * (b)

[Reorder] b(x + a)

[Dsitribute] bx + ba

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

7 2/9 + -5 1/5 =
show your work, show me how you got this answer

Answers

Answer:

Step-by-step explanation:

Convert mixed fraction to improper fraction.

Find LCM of the denominators and find equivalent fraction.

Now, subtract

[tex]7\dfrac{2}{9}=\dfrac{(7*9)+2}{9}=\dfrac{63+2}{9}=\dfrac{65}{9}[/tex]

[tex]5\dfrac{1}{5}=\dfrac{26}{5}[/tex]

LCM of 9 and 5 = 45

[tex]\dfrac{65}{9}*\dfrac{5}{5}=\dfrac{325}{45}[/tex]

[tex]\dfrac{26}{5}*\dfrac{9}{9}=\dfrac{234}{45}[/tex]

[tex]7\dfrac{2}{9}- 5\dfrac{1}{5}=\dfrac{65}{9}-\dfrac{26}{5}\\\\ =\dfrac{65*5}{9*5}-\dfrac{26*9}{5*9}\\\\\\=\dfrac{325}{45}-\dfrac{234}{45}\\\\\\=\dfrac{325-234}{45}\\\\\\=\dfrac{91}{45}\\\\\\=2\dfrac{1}{45}[/tex]

10 students volunteer to help fold paper stars for a charity project. If an additional 5 students help out, they will be able to finish the job 3 days earlier. The number of days required to finish the job is inversely proportional to the number of students who help out. Find the additional number of students needed to help out in order to finish the job 4 days earlier.

Answers

Answer:

Above is the step-by-step solution.

Is the equations true.false.or open? x+3=5

Answers

Answer:

true

Step-by-step explanation:

i just plugged in 2 for x. 40% chance im right lol

Answer:

true

Step-by-step explanation:

plss help me with this:(((((

Answers

The answer for the first question is A

The answer the second question is D

Step-by-step explanation:

so, let's look at the options.

A. (x+3)/x = 3

that hurts already by just looking at it.

but let's check anyway :

x + 3 = 3x

3 = 2x

and that is only true for one value of x (3/2), but not in general.

so, this is wrong.

B. (x²+5)/5 = x² + 1

x² + 5 = 5x² + 5

x² = 5x²

that is only true for one value of x (0), but not in general.

so, this is wrong.

C. (2x+7)/(2x+9) = 7/9

9(2x+7) = 7(2x+9)

18x + 63 = 14x + 63

4x = 0

that is only true for one value of x (0), but not in general.

so, this is wrong.

D. (-5x - 10)/(x+2) = -5

-5x - 10 = -5(x + 2) = -5x - 10

now this is true in all cases, so this is correct.

make simple :

(a² - 4a + 4) / (a² - 4)

with a little bit of experience you see right away that

a² - 4a + 4 = (a - 2)²

as we know from the generic squaring

(a - b)² = a² - 2ab + b² : a perfect fit.

and

(a² - 4) = (a + 2)(a - 2)

as we know from the generic factor multiplying

(a+b)(a-b) = a² + ab - ab - b² = a² - b² : a perfect fit.

so, the given expression is actually

(a - 2)² / ((a - 2)(a + 2)) = ((a-2)(a-2)) / ((a-2)(a+2))

and so, after eliminating one (a-2) term in the numerator and in the denominator the following remains :

(a - 2) / (a + 2)

and that is answer A

The area of a parallelogram can be found by the equation area=(b)(h) Find the height of a parallelogram that has an area of 10&1/2 in and a base of 3/4 the height of the parallelogram is ____ inches

Answers

Answer:

1/2×b×h you say 1/2 =3/4×10=answer ×1/2×1/2 you get the equation

The graph of a function is shown:

Answers

Answer: a) {-3, -1, 3, 4}

Step-by-step explanation:

f(x) is the output, and x is the input.

Hope it helps :) and let me know if you want me to elaborate.

WILL GIVE BRAINIEST IF YOU GET IT RIGHT PLEASE HELPP!!!
Translation: with the digits 1,2,3 you can form three-digit numbers like 123,231,312 ... determine the sum of all possible numbers

Answers

Answer:

Step-by-step explanation:

po ang tamang sagon po

Please help! I don't understand A-E its urgent :(
No links!!!! (picture included)

A. Name an alternate interior angle to angle 3

B. Name a corresponding angle to angle 8

C. Name a vertical angle to angle 2

D. Name a same side-interior angle to angle 5

E. Name an alternate exterior angle to angle 7

Answers

Step-by-step explanation:

A. 6 ---- Alternate interior angles are on opposite sides of the transversal while still between the other 2 lines

B. 4 ---- Corresponding angles are angles in matching corners when the transversal crosses over 2 other lines

C. 3 ---- Vertical angles are on opposite sides when 2 lines intersect

D. 6 ---- Side interior angles are the opposite of alternate interior angles, they are both on the same side

E. 2 ---- Alternate exterior angles are very similar to alternate interior angles, only that they are on the outside rather than on the inside of the 2 lines

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