On a linear graph with a positive slope, what happens to y if x increases?

• A. Y decreases.
• B. It cannot be determined.
• C. Y increases.
• D. Y stays the same.

Answer: (C)

A line with a positive slope means y changes in the same direction as x. The slope is the rate at which y changes for each unit change in x, and a positive slope indicates that as you move to the right (increase x), y also increases. So, when x increases, y increases. If the slope were negative, y would decrease as x increases; if the slope were zero, y would stay the same.