Question

How do you graph `y>2x – 4`?

Answer 1

Determine two points on the line by plugging in values for x. Temporarily change the inequality `y>2x-4` to the equation `y=2x-4`.

If `x=0, y=2*0-4=0-4=-4` Point = `(0,-4)`
If `x=2, y=2*2-4=4-4=0` Point = `(2,0)`

Plot the two points and draw a dashed line through them. This indicates that the line is the boundary of the inequality, but is not part of it. Shade in the area above the line to indicate that `y>2x-4`.
graph{y>2x-4 [-10, 10, -5, 5]}