Answer:
slope = 3 / 5
Explanation:
First, let us note from the graph that
[tex]f(-4)=1[/tex]and
[tex]f(1)=4[/tex]Therefore, the two points that lie on the secant line are
[tex]\begin{gathered} (-4,1) \\ (1,4) \end{gathered}[/tex]The slope of the line (the secant) passing through these two points is
[tex]slope=\frac{4-1}{1-(-4)}[/tex][tex]=\frac{3}{5}[/tex][tex]\boxed{slope=\frac{3}{5}\text{.}}[/tex]Hence, the slope of the secant is 3/5.