Question

When graphing the inequality y ≤ 2x - 4, the boundary line needs to be graphed first. Which graph correctly shows the boundary line?

A. Line y = 10x - 6
B. Line y = 2x - 10
C. Line y = 8x + 10
D. Line y = -10x + 6

Answer 1

The correct equation for the boundary line of the inequality y ≤ 2x - 4 is Line B: y = 2x - 10. To graph the boundary line, we need to replace the inequality symbol with an equal sign. This equation represents a straight line with a slope of 2 and a y-intercept of -4.

Step-by-step explanation:

The correct equation for the boundary line of the inequality y ≤ 2x - 4 is Line B: y = 2x - 10.

To graph the boundary line, we need to replace the inequality symbol with an equal sign. So we have y = 2x - 4. This equation represents a straight line with a slope of 2 and a y-intercept of -4.

Using the slope-intercept form y = mx + b, we can see that the slope (m) is 2 and the y-intercept (b) is -4. Plotting the y-intercept at point (0, -4) and using the slope to find another point, we can draw a straight line passing through these two points. This line represents the boundary line for the inequality y ≤ 2x - 4.