# 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.

Math worksheets and

visual curriculum

visual curriculum