Answer:
[tex]\huge\boxed{y-27=8(x-3)}[/tex]
Step-by-step explanation:
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
where
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (3, 27) and (-8, -61).
Calculate the slope m:
[tex]m=\dfrac{-61-27}{-8-3}=\dfrac{-88}{-11}=8[/tex]
Susbtitute to the equation of a line:
[tex]y-27=8(x-3)[/tex]
