Chapter 9.3, Problem 13IP

To determine

To calculate: Slope of the line.

Answer to Problem 13IP

Slope of the line is $\frac{1}{3}$ .

Explanation of Solution

Given information:

The following graph:

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:

  $\begin{array}{l}m=\frac{y_2-y_1}{x_2-x}[\text{Definition of slope]}\\ m=\frac{5-3}{6-0}[(x_1,y_1)=(0,3),(x_2,y_2)=(6,5)]\\ m=\frac{2}{6}[\text{Simplify]}\\ m=\frac{1}{3}[\text{Divide]}\end{array}$