# How do you graph 2x-2y=2 by plotting points?

Set one variable to 0 to find the value of the other variable, graph the points then draw the line.

#### Explanation:

We're working with a line - we know this because both the x and y terms are of power 1 (so they aren't squared or square-rooted or anything like that). With a line, it takes 2 points and we can then draw a line between them and have that line extend both ways into infinity.

The equation lends itself to setting one variable to 0 and seeing what the resulting other variable will be, like this:

$2 x - 2 y = 2$

set x to 0:

$- 2 y = 2$

$y = - 1$

so one point is $\left(0 , - 1\right)$

now set y to 0:

$2 x = 2$

$x = 1$

the other point is $\left(1 , 0\right)$

and we can graph those two points and draw the line:

graph{2x-2y=2 [-10, 10, -5, 5]}