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

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]}