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

Straight lines can be used to represent linear equations in the cartesian plane. Using these linear equations, we can extract various information about the equations.

Answer: The graph of y > mx, where m > 0, contains the entire 2nd quadrant and the 1st and the 3rd quadrant partially.

Let's understand the solution in detail.

Explanation:

Given equation: y > mx, m > 0.

Now, since m > 0, therefore, the line corresponding to the inequality will always have a positive slope.

Now, let's substitute some values of m in the inequality above:

⇒ If m = 1, then y > x.

⇒ If m = 2, then y > 2x.

Now, if we substitute the point (-1, 1) in y > 2x, then we see that the inequality is true. Hence, the area covered by the inequality contains (-1, 1).

Now, let's represent this on the graph.

The shaded region covers the second quadrant and parts of the first and third quadrants.

Hence, from the above graph, we see that the graph of y > mx contains all of the second quadrant and the first and the third quadrant partially.