Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Review Exercises - Page 302: 51

Answer

The slope of the line passing through the points $\left( 3,2 \right)$ and $\left( 5,1 \right)$ is $-\frac{1}{2}$ and this line falls.

Work Step by Step

The slope of the line passing through two points $\left( {{x}_{1}},{{y}_{1}} \right)$ and $\left( {{x}_{2}},{{y}_{2}} \right)$ is provided by the formula $m=\frac{{{y}_{2}}-{{y}_{1}}}{{{x}_{2}}-{{x}_{1}}}$. Now, compute the slope of the line passing through the points $\left( 3,2 \right)$ and $\left( 5,1 \right)$ as shown below: $\begin{align} & m=\frac{1-2}{5-3} \\ & =-\frac{1}{2} \end{align}$ Therefore, the slope of this line is $-\frac{1}{2}$. Now, as the slope of the line is negative, hence the line falls. Therefore, the slope of the line passing through the points $\left( 3,2 \right)$ and $\left( 5,1 \right)$ is $-\frac{1}{2}$ and this line falls.
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