Question

25
Find the inequality represented by the graph.

Answer 1

• y > 4x - 2

Explanation:

First, let's find the equation of the line.

Use points (0, -2) and (1, 2) on the graph.

The y-intercept is (0, -2), find the slope:

• m = (y2 - y1)/(x2 - x1) = (2 - (-2))/(1 - 0) = 4/1 = 4

The line is:

• y = 4x - 2

Now, we see the line is dotted and the space to the left side is shaded.

Dotted line means the inequality doesn't include the points on the line, therefore the sign would be > or <.

Since the left side of the line includes greater values of the function, it should have > sign.

So the inequality is:

• y > 4x - 2