Chapter 9, Problem 13CR

To determine

To find the slope of the line.

Answer to Problem 13CR

The slope of the line is $\frac{1}{6}$ .

Explanation of Solution

Given information:

The given statement is:

“A lizard is crawling up a hill that rises $\text{5feet}$ for every horizontal change of $\text{30feet}$ . Find the slope.”

Formula used:

The following formula is used:

  $\text{m}=\frac{{\text{y}}_2-{\text{y}}_1}{{\text{x}}_2-{\text{x}}_1}$

Calculation :

The point at the origin is $\left(0,0\right)$ and another point is $\left(30,5\right)$ .

The slope can be calculated by:

  $\begin{array}{l}\text{m}=\frac{{\text{y}}_2-{\text{y}}_1}{{\text{x}}_2-{\text{x}}_1}\\ \text{m}=\frac{5-0}{30-0}\\ \text{m}=\frac{5}{30}\\ \text{m}=\frac{1}{6}\end{array}$

Hence, the slope of the line is $\frac{1}{6}$ .