Question

Enter an inequality that represents the graph in the box.

Answer 1

Find 2 points on the line:

We will use (2,2) and (0,-6)

Find the slope of the line which is the change in Y over the change in X:

(-6-2) / (0-2) = -8/-2 = 4

The slope = 4

Find the Y intercept:

y = 4x+b

use y1 for y and x1 for x

2 = 4(2) +b

2 = 8 +b

Subtract 8 from both side:

b = -6

Now you have the slope (4) and Y intercept (-6)

The equation of the line becomes y = 4X-6

The line is solid and the shaded portion of the graph is to the left of the line and it is a positive slope so the inequality would become

y ≥ 4x -6