The formula to calculate the slope between two points is given by
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
we need two points
looking at the graph
we take
(-2,-5) and (4,4)
substitute in the formula
[tex]\begin{gathered} m=\frac{4-(-5)}{4-(-2)}=\frac{4+5}{4+2}=\frac{9}{6} \\ simplify \\ m=\frac{3}{2} \end{gathered}[/tex]
The slope is 3/2
