Question

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

Answer 1

Solving the equation.

Explanation:

First of all we can solve the equation

`2x-2y=6`
`-2y=6-2x`
`2y=2x-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

`(3,0)`
`(7,4)`
`(9.32, 6,32)`
`(-31, -34)`

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