3-7 Homework please help!!!!!

Question

What is the slope between the points (-2, -7) and (2, 3)?

What is the equation of the line represented in question #1?

Answer 1

slope = "rise over run" the change in y over change in x = (3--7)/(2--2) = 10/4 = 5/2 = m = slope

plug into the general equation y=mx + b where m=slope and b = y intercept

y=(5/2)x + b

plug in either point to solve for b, use (2,3) x=2, y=3

3= (5/2)2 + b

3=5+b

b =-2

y=(5/2)x +2

2y=5x -4

5x-2y = 4