What is the x intercept and y intercept of the equation x - 2y = 8?

Question

1096 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-06-09T23:23:20

See a solution process below:

To find the #x#-intercept, substitute #0# for #y# and solve for #x#:

#x - 2y = 8# becomes:

#x - (2 * 0) = 8#

#x - 0 = 8#

#x = 8#

The #x#-intercept is #8# or #(8, 0)#

To find the #y#-intercept, substitute #0# for #x# and solve for #y#:

#x - 2y = 8# becomes:

#0 - 2y = 8#

#-2y = 8#

#(-2y)/color(red)(-2) = 8/color(red)(-2)#

#(color(red)(cancel(color(black)(-2)))y)/cancel(color(red)(-2)) = -4#

#y = -4#

The #y#-intercept is #-4# or #(0, -4)#