Question

What is the equation in point-slope form of the line passing through (–2, 0) and (2, 8)?

Answer 1

`y = 2x + 4`

Explanation:

One method is to find the slope (m) first and then use that and one of the points (x,y) in `y = mx + c`.
Substituting those three values will allow you to find `c`.

A quicker and easier method is to use the formula for the equation of a straight line if you have 2 points:

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

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

`y/(x+2) = 8/4 = 2/1 " cross multiply"`

`y = 2x + 4`