Question

Choose the four steps required to graph y ≤ 1/4x + 2.

Step 1: ?
Step 2: ?
Step 3: ?
Step 4: ?

Options:

Plot a second point that is 1 unit up and 4 units to the right of the y-intercept

Shade the half of the graph that is below the line

Connect the two points with a dashed line

Shade the half of the graph that is above the line

Plot the y-intercept at (0, 1/4)

Plot the white intercept at (0, 2)

Connect the two points with a solid line

Answer 1

To graph the inequality y ≤ 1/4x + 2, you start by plotting the y-intercept, then another point using the slope, connect them with a solid line, and shade below the line.

Step-by-step explanation:

To graph the inequality y ≤ 1/4x + 2, follow these steps:

1. Plot the y-intercept at (0, 2).
2. Plot a second point that is 1 unit up and 4 units to the right of the y-intercept, resulting in the point (4, 3).
3. Connect the two points with a solid line because the inequality includes ≤, representing all the points on the line as solutions as well.
4. Shade the half of the graph that is below the line to represent all the points where y is less than or equal to the line.

By following these steps, you will accurately represent the inequality on a graph.