# What is the slope if the secant line of the function y = 4x^2 – 2x + 1 between x = 3 and x = 6?

Aug 18, 2017

$\text{slope } = 34$

#### Explanation:

$\text{the slope of the secant line is}$

•color(white)(x)m=(f(6)-f(3))/(6-3)

$\text{that is "" difference in y"/"difference in x"" between the 2 points}$

$f \left(6\right) = 4 {\left(6\right)}^{2} - 2 \left(6\right) + 1$

$\textcolor{w h i t e}{\times x} = 144 - 12 + 1$

$\textcolor{w h i t e}{\times x} = 133$

$f \left(3\right) = 4 {\left(3\right)}^{2} - 2 \left(3\right) + 1$

$\textcolor{w h i t e}{\times x} = 36 - 6 + 1$

$\textcolor{w h i t e}{\times x} = 31$

$\Rightarrow m = \frac{133 - 31}{3} = \frac{102}{3} = 34$