Chapter 9.3, Problem 28HP

To determine

To name: Two points on a line that has a slope of $\frac{5}{8}$ .

Answer to Problem 28HP

Two points on a line that has a slope of $\frac{5}{8}$ , are $(0,0)$ and $(8,5)$

Explanation of Solution

Given information:

Slope of the line = $\frac{5}{8}$

Formula used:

Slope is given by the formula,

  $m=\frac{y_2-y_1}{x_2-x}$

where $x_2\ne x$ .

Calculation:

Use the formula for calculating slope to find the points on the line.

Since, $5-0=5$ and $8-0=8$ , the slope can be calculated as,

  $\begin{array}{l}m=\frac{y_2-y_1}{x_2-x}[\text{Definition of slope]}\\ \frac{5}{8}=\frac{5-0}{8-0}[\text{Let }(x_1,y_1)=(0,0),(x_2,y_2)=(8,5)]\end{array}$