Use the image to answer the question.

Question

(6, 6), (0, 0)
Explain why the slope is positive or negative.
A. The slope is negative because the line increases as you move from left toright on the graph.
B. The slope is negative because the line decreases as you move from left to right on the graph.
C. The slope is positive because the line increases as you move from left to right on the graph.
D. The slope is positive because the line decreases as you move from left to right on the graph.

Answer 1

To determine the slope between the two points (6, 6) and (0, 0), we can look at how the y-coordinate changes as the x-coordinate increases.

• From (0, 0) to (6, 6), as the x-coordinate increases from 0 to 6, the y-coordinate increases from 0 to 6 as well.

This means that the line rises as we move from left to right. Therefore, we conclude that the slope is positive.

The correct explanation is:

C. The slope is positive because the line increases as you move from left to right on the graph.