First we need to find the slope between the two points:
(y2-y1) / (x2-x1)
= -3 - 5 / -7 - 5
= -8 / -12
= 2 / 3
We have the slope. Now we need to find the y intercept.
y = (2 / 3)x + b
Using one of the points, I will be using (-7,-3)
-3 = (2 / 3)-7 + b
-3 = -14 / 3 + b
b = -3 + 14 / 3
b = 5 / 3
Therefore, the equation will be:
y = (2 / 3)x + (5 / 3)
