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 <em>above</em> the line is shaded. So the inequality is:
y > -3x + 6
