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Write an inequality for the graph below.

Write an inequality for the graph below.-example-1

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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

User Lari Hotari
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