y > 4x\nplot points on the boundary line. select the line to switch between solid and dotted. select a…

Explanation:

Step1: Identify the boundary - line equation

The boundary - line for the inequality (y>4x) is (y = 4x).

Step2: Determine the type of the boundary - line

Since the inequality is (y>4x) (strict inequality), the boundary - line (y = 4x) is a dotted line.

Step3: Test a point

We can test the point ((0,1)). Substitute (x = 0) and (y=1) into the inequality (y>4x). We get (1>4\times0), which is (1 > 0) (True). So, we shade the region above the line (y = 4x).

The graph should have a dotted line (y = 4x) and the region above this line should be shaded. The incorrect graph in the provided image has a vertical line and incorrect shading.

Answer:

The correct graph should have a dotted line (y = 4x) and the region above this line should be shaded.