Graph the inequality y 2x - 2.

You're on a roll — The problem you provided in the image is "Represent the inequality y = 2x - 2 graphically." As discussed previously, y = 2x - 2 is an equation of a line, not an inequality. For an equation, the solution is just the line itself, and no shading is involved. However, if you meant to represent an inequality such as y 2x - 2, y 2x - 2, y > 2x - 2, or y < 2x - 2, then shading would be required. Let's assume you meant the inequality y 2x - 2, as your graph shows a solid line, which is used for "greater than or equal to" () or "less than or equal to" (). Step 1: Draw the boundary line. The boundary line is y = 2x - 2. You have already correctly drawn this line. Since the inequality is y 2x - 2, the line should be solid (continuous), which matches your drawing. Step 2: Choose a test point. Pick a point that is not on the line. The easiest point to use is often the origin (0, 0). Step 3: Substitute the test point into the inequality. Substitute x = 0 and y = 0 into the inequality y 2x - 2: 0 2(0) - 2 0 0 - 2 0 -2 Step 4: Determine the shaded region. The statement 0 -2 is true. Since the test point (0, 0) satisfies the inequality, and (0, 0) is located above the line y = 2x - 2 (relative to the y-intercept at (0, -2)), you should shade the region above the line. If the inequality were y 2x - 2, you would shade the region above* the solid line. If the inequality were y 2x - 2, you would shade the region below* the solid line. If the inequality were y > 2x - 2, you would draw a dashed line and shade the region above* it. If the inequality were y < 2x - 2, you would draw a dashed line and shade the region below* it. For the inequality y 2x - 2, you should shade the region above the line y = 2x - 2. Niko tayari kwa swali lingine 📸