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

Answer:

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

Step-by-step explanation:

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

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

where

$m=\dfrac{y_2-y_1}{x_2-x_1}$

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

Calculate the slope m:

$m=\dfrac{-61-27}{-8-3}=\dfrac{-88}{-11}=8$

Susbtitute to the equation of a line:

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