Graph this inequality:
y≤–3/4x
Plot points on the boundary line. Select the line to switch between solid and dotted. Select a region to shade it.
Here is the graph of the inequality y ≤ -3/4x:
First, we need to plot points on the boundary line y = -3/4x.
Let's choose a few values for x and find the corresponding values for y.
When x = 0, y = -3/4(0) = 0. So one point is (0, 0).
When x = 4, y = -3/4(4) = -3. So another point is (4, -3).
When x = -4, y = -3/4(-4) = 3. So another point is (-4, 3).
Plotting these points and drawing a straight line through them yields the following:
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Since the inequality is y ≤ -3/4x, we need to shade below the line.
The shaded region will be:
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______|_________
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The line should be solid because the inequality includes ≤, not <.
I hope this helps! Let me know if you have any further questions.