Chapter 13.2, Problem 10WE

To determine

To find the slope of the line through the points $\left(6,-6\right);\left(4,3\right)$.

Answer to Problem 10WE

The slope of the line is $\frac{-9}{2}$ .

Explanation of Solution

Given information: The points are $\left(6,-6\right);\left(4,3\right)$ .

Concept used: The slope, denoted by m, of the nonvertical line through the points $\left(x_1,y_1\right)$ and $\left(x_2,y_2\right)$ is defined as follows:

  $slope\left(m\right)=\frac{y_2-y_1}{x_2-x_1}$ .

Calculation: The slope of the line through the points is obtained as,

  $\left(6,-6\right);\left(4,3\right)$

here,

  $\begin{array}{l}{x}_1=6\\ y_1=-6\\ x_2=4\\ y_2=3\end{array}$

Therefore, $slope\left(m\right)=\frac{y_2-y_1}{x_2-x_1}=\frac{3+6}{4-6}=\frac{-9}{2}$

Hence, the slope of the line is $\frac{-9}{2}$ .