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!