Question

If the slope = m and it is positive, which of the following is true?

A. The line is decreasing.

B. The line is increasing.

C. The Rise is positive and the Run is positive.

D. The Rise is negative and the Run is negative.

Answer 1

B. The line is increasing.

Explanation:

If the slope = m and it is positive, the line is increasing.

The slope of a line is defined as the ratio of the change in the y-coordinate (rise) to the change in the x-coordinate (run) between any two points on the line. If the slope is positive, then the rise and run must have the same sign (both positive or both negative), meaning that as x increases, y also increases, which indicates that the line is increasing.

Option C is partially true, as the rise and the run are both positive, but it does not imply whether the line is increasing or decreasing.

So, the answer is B. The line is increasing.