How do you use the intercepts to graph the equation 2x-4y=8?

Feb 5, 2015

Remember what it means to find an intercept.

An x-intercept is simply where the line hits the x-axis. Think of the coordinates of an x-intercept. They will be in the form of (x,0). The y-coordinate of an x-intercept is always 0, therefore we can set y equal to 0 in the given equation to find the x-intercept.

$2 x - 4 \left(0\right) = 8$
$2 x = 8$
$x = 4$

Giving me the x-intercept of $\left(4 , 0\right)$

A y-intercept is where the line hits the y-axis. Think of the coordinates of a y-intercept. It will be in the form of (0,y). The x-coordinate of a y-intercept is always 0. therefore we can set x equal to 0 in the given equation to find the y-intercept.

$2 \left(0\right) - 4 y = 8$
$- 4 y = 8$
$y = - 2$

Giving me the y-intercept of $\left(0 , - 2\right)$

Now you simply need to plot those two points and connect them giving you your line.
graph{0.5*x-2 [-10, 10, -5, 5]}