Question

Complete the equation of the line through (-8, 8) and (1, -10)

Answer 1

Answer:

$y=-2x-8$

Step-by-step explanation:

Let $y=mx+c$ be the equation of this line.

The points must satisfy this equation.

When x=-8, and y=8, we get:

$8=-8m+c....(1)$

When x=1, and y=-10, we get:

$-10=m+c...(2)$

Subtract equation (1) from equation (2) to get:

$m--8m=-10-8$

9m=-18

m=-2

We put m=-2 in equation to get (2)

-10=-2+c

c=-10+2

c=-8

Therefore the equation is:

y=-2x-8