TrapperG440333 TrapperG440333
  • 03-11-2022
  • Mathematics
contestada

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=

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MalalaL27410 MalalaL27410
  • 03-11-2022

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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