Chapter 9.3, Problem 19IP

To determine

To calculate: Slope of the line that passes through the given points.

Answer to Problem 19IP

Slope of the line is $3$ .

Explanation of Solution

Given information:

The following points:

  $\begin{array}{l}L(5,-6)\\ M(9,6)\end{array}$

Formula used:

Slope is given by the formula,

  $m=\frac{y_2-y_1}{x_2-x}$

where $x_2\ne x$ .

Calculation:

Slope is calculated as follows:

  $\begin{array}{l}m=\frac{y_2-y_1}{x_2-x}[\text{Definition of slope]}\\ m=\frac{6-(-6)}{9-5}[(x_1,y_1)=(5,-6),(x_2,y_2)=(9,6)]\\ m=\frac{12}{4}[\text{Simplify]}\\ m=3[\text{Divide]}\end{array}$