Question

linear functions
the graph of a relation is shown.
graph of a line with positive slope passing through the origin
which of these values could be the slope of the line? choose two correct answers.
3 -2
7/4 0
-8/5

Explanation:

Step1: Analyze the line's slope sign

The line in the graph is increasing (from bottom - left to top - right), so the slope should be positive. So we can eliminate the negative values ($- 2$, $-\frac{8}{5}$) and 0 (since a slope of 0 is a horizontal line).

Step2: Identify positive slopes

The positive values among the options are $3$ and $\frac{7}{4}$. These are the possible slopes as they are positive and match the increasing nature of the line.

Answer:

A. 3, C. $\frac{7}{4}$ (Here we assume the options are labeled as A: 3, B: - 2, C: $\frac{7}{4}$, D: 0, E: $-\frac{8}{5}$)