Question

In the above graph of y = f( x ), find the slope of the secant line through the points ( -4, f( -4 ) ) and ( 1, f( 1 ) ).

Answer 1

Answer:

slope = 3 / 5

Explanation:

First, let us note from the graph that

$f(-4)=1$

and

$f(1)=4$

Therefore, the two points that lie on the secant line are

$\begin{gathered} (-4,1) \\ (1,4) \end{gathered}$

The slope of the line (the secant) passing through these two points is

$slope=\frac{4-1}{1-(-4)}$$=\frac{3}{5}$$\boxed{slope=\frac{3}{5}\text{.}}$

Hence, the slope of the secant is 3/5.