Answer:
Step-by-step explanation:
Graph y = (-3/4)x-2 first, using a solid line because of the ≤ symbol (y can be a certain number or anything less than that number).
First, plot the y-intercept, (0, -2). Put a dark dot there.
Next, with your pencil point on that dot, move the point 4 spaces to the right and from there move the point 3 spaces down. This line drops as x increases. Now draw a straight solid line through the points (0, -2) and (4, -6).
Although we could immediately state, "the solution set consists of all points on the line y = (-3/4)x-2 and below that line, we could choose a test point from that shaded area and see whether the coordinates of this point satisfy y = (-3/4)x-2. For example, (2, - 6) is a point BELOW the line.
Do the coordinates of this point satisfy y ≤ (-3/4)x-2? Is -6 ≤ (-3/4)(2) - 2 true? Is -6 ≤ (-3/2) - 8/4 true? Yes.
