### Home > PC > Chapter 8 > Lesson 8.2.4 > Problem8-126

8-126.

Given the function $f(x)=10-x^2$, find the slope of the line between the following pairs of points.

1. $(2,f(2))$ and $(4,f(4))$

$m=\frac{f(4)-f(2)}{4-2}$

1. $(2,f(2))$ and $(3,f(3))$

$m=\frac{f(3)-f(2)}{3-2}$

1. $(2,f(2))$ and $(2.5,f(2.5))$

$m=\frac{f(2.5)-f(2)}{2.5-2}$

1. $(2,f(2))$ and $(2.1,f(2.1))$

$m=\frac{f(2.1)-f(2)}{2.1-2}$

1. As the two points get closer and closer, what happens to the slope of the line?