Question

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

Answer 1

`y = - (1)/(4) x - 2`

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 = ( - 4 + 2)/(8 - 0) = - (2)/(8) = - (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 = - (1)/(4) (x - 0) \\ y + 2 = - (1)/(4) x`

We have the final answer as

`y = - (1)/(4) x - 2`

Hope this helps you