Find the slope intercept form of the line that has the given characteristics

Question

Passes through (1,-3) and (-7,2)

Answer 1

slope = m = (2--3)/-7-1) = 5/-8 = -5/8

m = -5/8 = (y--3)/(x-1) = (y+3)/(x-1)

cross multiply to get

8(y+3) = -5x+5

8y +24 =-5x +5

8y =-5x -19

y = (-5/8)x - 19/8 is the equation through the two points in standard slope intercept form where -19//8 is the y intercept and -5/8 is the slope

check the answer by plugging in each point into the equation:

-3 = (-5/8)(1) -19/8 =-24/8 = -3

2 = (-5/8)(-7) -19/8 = 35/8-19/8 = 16/8 = 2