How do you graph y>2x-3?

1 Answer
Apr 15, 2018

You would first graph the line y=2x-3, which you can see below:

graph{y=2x-3 [-10, 10, -5, 5]}

Since you have the "greater than" (or>) symbol, however, you would have to test an (x,y) coordinate value using the equation y>2x-3: this is because either the side of the plane "to the left" or "to the right" of this line will consist of the values "greater than".

Note: you should not test coordinate point that is on the line, since the two sides will equal and this will not tell you which side is the right one.

If I test (0,0) (usually the easiest point to use), I will get 0 > -3, which is true. Therefore, the side of the plane with (0,0) will be correct.

Additionally, please note that if the equation has a > or < symbol, the line will be dashed (does not include the values on the line). If the equation has a or , this will be a solid line as the values on the line are included.

The answer will then look like this: (shaded portion is the "greater than"side of the plane)

graph{y>2x-3 [-10, 10, -5, 5]}

Hope this helps!