How do you graph y > 2x?

Sure, here are the steps to graph the inequality y > 2x:

1. Start by treating the inequality as an equation. In this case, we would treat y > 2x as y = 2x.

2. Draw the line y = 2x on the graph. This line will be a straight line that passes through the origin (0,0) and has a slope of 2, which means it rises 2 units for every 1 unit it runs.

3. Since the inequality is y > 2x and not y >= 2x, the line y = 2x should be dashed to indicate that the points on the line are not included in the solution.

4. Choose a test point not on the line to determine which side of the line to shade. The origin (0,0) is a good test point if it's not on the line. Substitute the coordinates of the test point into the inequality. If the inequality is true, shade the side of the line that includes the test point. If the inequality is false, shade the opposite side.

5. In this case, if we substitute (0,0) into the inequality, we get 0 > 0, which is false. So, we shade the side of the line opposite to the test point.

6. The shaded region represents the solution to the inequality. Any point in this region will satisfy the inequality y > 2x.