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

1 Answer

Answer:

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:

#2x-2y=2#

set x to 0:

#-2y=2#

#y=-1#

so one point is #(0,-1)#

now set y to 0:

#2x=2#

#x=1#

the other point is #(1,0)#

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

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