Graph the inequality in the coordinate plane.>y−7

Sure, here are the steps to graph the inequality y > 7:

1. Start by drawing a horizontal line across the graph at y = 7. This line represents the equation y = 7.

2. Since the inequality is "greater than" and not "greater than or equal to", the line should be dashed to indicate that the points on the line are not included in the solution.

3. Choose a test point not on the line to determine which region to shade. A good test point is the origin (0,0) if it's not on the line. In this case, it's not on the line, so we can use it.

4. Substitute the coordinates of the test point into the inequality. If the inequality is true, shade the region that contains the test point. If the inequality is false, shade the region that does not contain the test point.

5. In this case, if we substitute 0 for y, we get 0 > 7, which is not true. So, we shade the region that does not contain the point (0,0), which is the region above the line.

And that's it! The graph of the inequality y > 7 is a dashed line at y = 7, with shading above the line.