How do you graph the equation #x=10-y#?

1 Answer
May 20, 2018

Plot a couple sample points and draw a line through those points.

Explanation:

If we recognize #x=10-y# as a linear equation,
then we know we only need 2 sample points.
Probably the easiest points to use are the #x# and #y# intercepts
With #x=0# we have #y=10# (the y-intercept)
and
with #y=0# we have #x=10# (the x-intercept)

Plotting those two coordinate pairs on the Cartesian plane and drawing a line through them should give a graph like:
graph{(x^2+(y-10)^2-0.1)((x-10)^2+y^2-0.1)(x+y-10)=0 [-10.7, 25.35, -5.1, 12.91]}