Question

Find the point-slope equation for the line that passes through the points (3,27) and (-8,-61). Use the first point in your equation.

Answer 1

`\huge\boxed{y-27=8(x-3)}`

Explanation:

The point-slope form of an equation of a line:

`y-y_1=m(x-x_1)`

where

`m=(y_2-y_1)/(x_2-x_1)`

We have the points (3, 27) and (-8, -61).

Calculate the slope m:

`m=(-61-27)/(-8-3)=(-88)/(-11)=8`

Susbtitute to the equation of a line:

`y-27=8(x-3)`