The answer is y = 5x + 7
here's how you get it:

Start with the base y = mx + b
then imput the points and the slope:
-3 = 5 ( -2 ) + b

Then solve for b
-3 = 5 ( -2 ) + b
-3 = -10 + b
-b = -7
b = 7

so the equation is:

y = 5x + 7

8 0

3 years ago

Read 2 more answers

Triangle ABC is located at A (−2, 2), B (−2, 4), and C (0, 0). The triangle is then transformed using the rule (x+3, y− 2) to fo

mash [69]

A' (1,0) B' (1,2) C' (3, -2)

3 0

4 years ago

Putting the equations in slope-intercept form changes the system from

myrzilka [38]

$15x+9y=36 \rightarrow y=-\frac{5}{3}x+4 \\ \\ 10x + 6y = 36 \rightarrow y=-\frac{5}{3}x+6$

The lines are parallel.

The slopes are equal.

<h2>Explanation:</h2>

The standard form of the equation of a line is given by the form:

$Ax+By=C \\ \\ \\ Where: \\ \\ A \ is \ a \ positive \ integer \\ \\ B,C \ are \ integers$

On the other hand, the slope-intercept form of the equation of a line is given by the form:

$y=mx+b \\ \\ \\ m:Slope \\ \\ b:y-intercept$

So let's convert each equation from the standard form to the slope-intercept form:

So, for the first equation:

$15x+9y=36 \\ \\ Solving \ for \ y: \\ \\ 9y=-15x+36 \\ \\ y=\frac{-15x+36}{9} \\ \\ y=-\frac{5}{3}x+4$

So, for the second equation:

$10x + 6y = 36 \\ \\ Solving \ for \ y: \\ \\ 6y=-10x+36 \\ \\ y=\frac{-10x+36}{6} \\ \\ y=-\frac{5}{3}x+6$

As you can see both equations have the same slope but different y-intercepts meaning that they are parallel. So these are the correct options:

The lines are parallel.

The slopes are equal.

<h2>Learn more:</h2>

Graph linear equations: brainly.com/question/13799715

#LearnWithBrainly

6 0

3 years ago

Read 2 more answers

The following chips are placed in a bucket: 1 red, 9 yellow, 6 blue, and 11 green. One chip is randomly selected from the bucket

Oxana [17]

Answer:

20 out of 27

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers