The inequality for the graph below is written in slope-intercept form as: y ≤ -2x - 2.
What is the inequality for the graph?
The graph's inequality can be written in slope-intercept form as y = mx + b, where m is the slope of the line and b is the y-intercept where x = 0.
First find the slope (m):
Slope (m) = change in y / change in x = -4/2
m = -2
The y-intercept of the graph, when x = 0, is -2, thus, b = -2.
The shaded region lies below the solid line, we would use the sign ≤.
Substitute m = -2 and b = -2 into y ≤ mx + b:
y ≤ -2x - 2