Answer:
[tex]y=-2x-8[/tex]
Step-by-step explanation:
Let [tex]y=mx+c[/tex] be the equation of this line.
The points must satisfy this equation.
When x=-8, and y=8, we get:
[tex]8=-8m+c....(1)[/tex]
When x=1, and y=-10, we get:
[tex]-10=m+c...(2)[/tex]
Subtract equation (1) from equation (2) to get:
[tex]m--8m=-10-8[/tex]
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
