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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 ) ).

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 class=

Answer :

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.

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