Question

Which line has an x intercept -2,0 and a y intercept 0,4

Answer 1

If you have two points and want to find the equation for the line, you use the two-point form equation.

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

Well, make the x-intercept the point
`(x_1, y_1)` and the y-intercept the point
`(x_2, y_2)`

Plug in the values.


`y - 0 = (4 - 0)/(0 - (-2))(x - (-2))`

Simplify.


`y - 0 = (4 - 0)/(0 - (-2))(x - (-2))`

`y - 0 = (4)/(2)(x - (-2))`

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

`y - 0 = 2(x + 2))`

`y - 0 = 2x + 4`

`y = 2x + 4`