the graph of a relation is shown. which of these values could be the slope of the line? select two options…

Explanation:

Step1: Determine the sign of the slope

The line is increasing from left to right. For an increasing line, the slope (m=\frac{y_2 - y_1}{x_2 - x_1}>0) (where ((x_1,y_1)) and ((x_2,y_2)) are two points on the line with (x_2>x_1)).

Step2: Check each option

• For (m=-2), since (-2 < 0), it is not the slope of the given line.
• For (m =-\frac{8}{5}=-1.6), since (-1.6<0), it is not the slope of the given line.
• For (m = 0), a line with slope (m = 0) is a horizontal line ((y = b) where (b) is a constant). The given line is not horizontal, so (m\neq0).
• For (m=\frac{7}{4}=1.75>0), it is a possible slope for an increasing line.
• For (m = 3>0), it is a possible slope for an increasing line.

Answer:

(\frac{7}{4}), (3)