Question

the graph of a relation is shown. which of these values could be the slope of the line? select two options. -2, -8/5, 0, 7/4, 3

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 options (-2, \(-\frac{8}{5}\)) and the zero option (0) because a non - horizontal, non - vertical increasing line has a positive slope.

Step2: Check the positive options

We have two positive options: \(\frac{7}{4}\) (which is \(1.75\)) and 3. Both of these are positive values, and an increasing line can have a positive slope. So \(\frac{7}{4}\) and 3 are possible slopes.

Answer:

\(\frac{7}{4}\), 3 (the options are \(\boldsymbol{\frac{7}{4}}\) and \(\boldsymbol{3}\))