Question

Write an equation of the line below. (0,-2) (8,-4)

Answer 1

Answer:

$y = - \frac{1}{4} x - 2$

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

First of all to find the equation of the line we must first find the slope.

The slope of the line using points

(0,-2) (8,-4) is

$m = \frac{ - 4 + 2}{8 - 0} = - \frac{2}{8} = - \frac{1}{4}$

Now using one of the points and the slope we can find the equation of the line.

Equation of the line using point (0 , - 2) and slope - 1/4 is

$y + 2 = - \frac{1}{4} (x - 0) \\ y + 2 = - \frac{1}{4} x$

We have the final answer as

$y = - \frac{1}{4} x - 2$

Hope this helps you