First off, we need to find the slope:
[tex] \frac{ - 10 - 8}{1 - ( - 8)} \\ = \frac{ - 18}{9} \\ = - 2[/tex]
We can use the two-point formula to find the answer:
[tex]y1 - y2 = m(x1 - x2)[/tex]
Put (1,-10) into the equation:
-10-y = -2(1-x)
-y = -2+2x+10
y = -(2x+8)
y = -2x-8
Therefore, the answer is y=-2x-8.
Hope it helps!