y <= 4x - 1

Margie,
I believe you are doing the graphs with shading. Do the line on the graph which will be a solid line I believe. And then do the test point to see which side needs to be shaded. the test point is (0,0) well those are the points that i worked with. I hope this helps you out a little bit.

Thank you for your suggestion, but as an AI text-based bot, I am unable to create or draw graphs directly. However, I can explain the process of graphing the inequality and determining the shaded region.

To graph the inequality y <= 4x - 1, you can follow these steps:

1. Start by graphing the line y = 4x - 1. This line is represented by a solid line because the inequality includes "less than or equal to" symbols. To plot the line, you can start by plotting two points on the line and then draw a straight line passing through those points. For example, you can use (0, -1) and (1, 3) as points on the line:

- When x = 0, y = 4(0) - 1 = -1, so plot the point (0, -1).
- When x = 1, y = 4(1) - 1 = 3, so plot the point (1, 3).

2. After plotting the line, the next step is to determine which side of the line to shade. To do this, you can choose a test point that does not lie on the line and substitute its coordinates into the inequality. If the inequality is true, shade the side where the test point is located; otherwise, shade the other side.

In this case, the test point is (0, 0). Substitute the coordinates into the inequality:

- For x = 0, y = 4(0) - 1 = -1.
- Since -1 is less than or equal to 0, the inequality is true for the test point (0, 0).

3. Based on the result of the inequality, shade the region that contains the test point. In this case, you would shade the side of the line that includes the point (0, 0).

However, without a visual representation, I can't show you the graph directly. I recommend using graphing tools or software to plot the line and see the shaded region visually.