Question

Enter an inequality that represents the graph in the box.

Answer 1

Answer:

y > -3x + 6

Step-by-step explanation:

First, find the equation of the dashed line.  We can use y = mx + b, where m is the slope and b is the y-intercept.

Here, the y-intercept is (0, 6).  To find the slope, we need a second point on the line.  Let's choose (2, 0).

m = Δy / Δx

m = (6 − 0) / (0 − 2)

m = -3

So the equation of the dashed line is y = -3x + 6.

Now look which side of the line is shaded.  In this case, the area above the line is shaded.  So the inequality is:

y > -3x + 6

Answer 2

Answer:

y>-3+6

Step-by-step explanation:

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