# How do you graph y>2x-3?

Apr 15, 2018

You would first graph the line $y = 2 x - 3$, 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 $y > 2 x - 3$: 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!