Question

Enter an inequality that represents the graph in the box.

please explain, because I don't understand this!

Answer 1

y>-3+6

Explanation:

took the test

Answer 2

y > -3x + 6

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