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

Question

2 years ago

10

ion.

1 answer:

Llana [10] · Answer 1 · 2022-06-04T16:01:52+03:00

Llana [10]2 years ago

5 0

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 <em>m</em>:

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

Susbtitute to the equation of a line:

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