how do i graph:

y(less than or equal to)-6�ãx

To graph the inequality y ≤ -6x, follow these steps:

Step 1: Start by drawing the coordinate axes on a piece of graph paper. The x-axis is the horizontal line, and the y-axis is the vertical line intersecting at the origin (0,0).

Step 2: Since the inequality symbol is "less than or equal to" (≤), we need to represent the shaded region under the graphed line.

Step 3: Begin graphing the line y = -6x. This line has a slope of -6 with the y-intercept at the origin (0,0). To plot points on the line, you can choose any values for x and calculate the corresponding y-values by substituting those x values into the equation.

Step 4: Once you have a few points plotted on the line, draw the line connecting those points. Make sure to extend the line in both directions.

Step 5: Since the inequality symbol is "less than or equal to" (≤), the shaded region includes the area below the line. To indicate this, shade the region below the line, which represents all the points that satisfy the inequality y ≤ -6x.

Step 6: Label the shaded region as "y ≤ -6x" to indicate the inequality being graphed.

By following these steps, you can accurately graph the inequality y ≤ -6x.