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

1 Answer
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.

#2x-4(0)=8#
#2x=8#
#x=4#

Giving me the x-intercept of #(4,0)#

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(0)-4y=8#
#-4y=8#
#y=-2#

Giving me the y-intercept of #(0,-2)#

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]}