Question

What is the equation of the following line? (0,0) (2,-8)

Answer 1

Use the slope to do

(-8-0)/(2-0)

-8/2 = -4

The slope is -4

y = -4x

Answer 2

The required equation of the line is
`y=-4x`

Explanation:

Given : Points (0,0), (2,-8).

To find : What is the equation of the line ?

Solution :

Applying Two point slope form to find the equation,

`(y-y_1)=(y_2-y_1)/(x_2-x_1)(x-x_1)`

Where,
`(x_1,y_1)=(0,0)` and
`(x_2,y_2)=(2,-8)`

Substitute in the formula,

`(y-0)=(-8-0)/(2-0)(x-0)`

`y=(-8)/(2)x`

`y=-4x`

Therefore, The required equation of the line is
`y=-4x`