Question

The graph of a line passes through the points (0, -2) and (6, 0). What is the equation of the line?

Answer 1

The equation of the line is
`y=(1)/(3)x-2`.

Explanation:

Given : The graph of a line passes through the points (0, -2) and (6, 0).

To find : What is the equation of the line?

Solution :

Let the points
`(x_1,y_1)=(0,-2)` and
`(x_2,y_2)=(6,0)`

The general form of the equation of the line is

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

Where, m is the slope of lime

`m=(y_2-y_1)/(x_2-x_1)`

`m=(0-(-2))/(6-0)`

`m=(2)/(6)`

`m=(1)/(3)`

Substitute points and slope in the formula,

`(y-(-2))=(1)/(3)(x-0)`

`y+2=(1)/(3)x`

`y=(1)/(3)x-2`

Therefore, The equation of the line is
`y=(1)/(3)x-2`.