Question

the graph of a relation is shown.
which of these values could be the slope of the line?
select two options.
-2
$\boldsymbol{-\frac{8}{5}}$
0
$\boldsymbol{\frac{7}{4}}$
3

Explanation:

Step1: Analyze the line's direction

The line in the graph is increasing from left to right, so its slope should be positive. This eliminates the negative options (-2, \(-\frac{8}{5}\)) and the zero slope (which would be a horizontal line).

Step2: Evaluate positive options

We have two positive options: \(\frac{7}{4}\) (which is \(1.75\)) and \(3\). Both are positive, and the line appears to have a steep positive slope. \(\frac{7}{4}\) and \(3\) are positive and fit the increasing, non - horizontal nature of the line.

Answer:

D. \(\frac{7}{4}\), E. \(3\)