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
