# How do you graph 2x – 2y = 6 by plotting points?

May 29, 2016

Solving the equation.

#### Explanation:

First of all we can solve the equation

$2 x - 2 y = 6$
$- 2 y = 6 - 2 x$
$2 y = 2 x - 6$
$y = x - 3$.

Now we are ready to plot the points. Every time you select a value for $x$ the corresponding value for $y$ is $x - 3$.
So you can select the $x$ you want and subtract 3. For example

$\left(3 , 0\right)$
$\left(7 , 4\right)$
$\left(9.32 , 6 , 32\right)$
$\left(- 31 , - 34\right)$

are all valid points for the plot, because the only constraint is to subtract 3 from $x$.