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 $y - y_1 = \frac{y_2 - y_1}{x_2 - x_1}(x - x_1)$

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.

$y - 0 = \frac{4 - 0}{0 - (-2)}(x - (-2))$

Simplify.

$y - 0 = \frac{4 - 0}{0 - (-2)}(x - (-2))$
$y - 0 = \frac{4}{2}(x - (-2))$
$y - 0 = 2(x - (-2))$
$y - 0 = 2(x + 2))$
$y - 0 = 2x + 4$
$y = 2x + 4$