2.) Using any tool (Desmos or by hand on scratch paper) graph the inequality. Select 3 points. One point should be in the solution set, one is not, and one should be on the boundary line. In the boxes below. prove
mathematically that each point matches the description. All steps need to be shown to earn full credit. (6 points)
6x - 2y = 12

The line 6x - 2y = 12 goes through -6 on the y-axis and 2 on the x-axis ie through (0, -6) and (2, 0)
The line will be solid and shaded above (towards the origin)

There are an infinite number of choices for the example points!
Here is my selection.
(0, 0) is in the solution set. 6 x 0 - 2 x 0 = 0 which is less than 12
(5, 0) is not in the solution set. 6 x 5 - 2 x 0 = 30 which is greater than 12
(2, 0) is on the line. 6 x 2 - 2 x 0 = 12