How do you graph the line #x-2y=4# by using intercepts?

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Answer 1 · 2016-03-25T22:02:54

The x-intercept is #(4,0)#
The y-intercept is #(0,-2)# graph{x-2y=4 [-10, 10, -5, 5]}

The x-intercept always has a y value of #0#. So simply substitute #0# in place if #y# in your equation and you can calculate the x-intercept.

#x-2y=4# substitute #0# for #y#
#x-2(0)=4#
#x=4#. The x-intercept is #(4,0)#

Similarly, the y-intercept always has an x value of #0#. This time, substitute #0# in for #x# in your equation.

#x-2y=4#

#0-2y=4#

#-2y=4#

#y=-2#. So the y-intercept is #(0,-2)#