\( y \leq-\frac{3}{4} x \) Plot points on the boundary line. Select the line to switch betwee region to shade it.

To graph the boundary line of the inequality \( y = -\frac{3}{4} x \), start by plotting two points. When \( x = 0 \), \( y = 0 \) gives the point (0,0). When \( x = 4 \), \( y = -3 \) gives the point (4,-3). Connect these points to form a line. Since the inequality is \( \leq \), this line will be solid, indicating that points on the line are included in the solution set. Next, shade the region below the line since it represents all points where \( y \) values are less than or equal to the values on the line. Remember, you can check a test point like (0, -1) to confirm that it lies below the line and satisfies the inequality! Happy graphing!