Question

Describe the graph of y > mx, where m > 0.

Answer 1

The graph of y > mx, where m > 0, consists of a dashed line and a shaded half plane. The line has a positive slope and passes through the origin. The shaded half plane is above the line.

Explanation:

Answer 2

that graph will feature an area delimited by a line of slope m passing through the origin (0,0).

Since m>0 the slope is positive, meaning the line goes up.

Since the equation is y > mx, the inequality sign being >, that means the area represented will be ABOVE the line drawn.

So it will for sure include ALL quadrant II (with -x and +y values) and NONE of the quadrant IV (with +x and -y values) since the line is passing through the origin (0,0).