Answer:
The y intercept is -54/7
Explanation:
We can find the slope
m = (y2-y1)/(x2-x1)
= (-2--7)/(-8--1)
= (-2+7)/(-8+1)
=5/-7
= -5/7
We can use the point slope form of the equation to find the equation of the line
y-y1 = m(x-x1)
y--7 = -5/7 (x--1)
y+7 = -5/7 (x+1)
Distribute the -5/7
y+7 = -5/7 x - 5/7
Subtract 7 from each side
y+7-7= -5/7 x -5/7 -7
y = -5/7x -5/7 -7
Get a common denominator of 7
y = -5/7x -5/7 -49/7
y = -5/7x -54/7
This is in the form
y= mx+b, where b is the y intercept
The y intercept is -54/7