## Precalculus (6th Edition) Blitzer

Published by Pearson

# Chapter 1 - Section 1.4 - Linear Functions and Slope - Exercise Set - Page 213: 1

#### Answer

slope = $\dfrac{3}{4}$ The line through the two points rises.

#### Work Step by Step

RECALL: (1) The slope $m$ of a line that passes through the points $(x_1, y_1)$ and $(x_2, y_2)$ can be found using the formula: $m=\dfrac{y_2-y_1}{x_2-x_1}$ (2) A line with a positive slope rises from left to right. A line with a negative slope falls from left to right. (3) A line with a slope of 0 is horizontal. A line with an undefined slope is vertical. Solve for the slope of the line using the formula in (1) above to obtain: $m=\dfrac{10-7}{8-4}=\dfrac{3}{4}$ The slope is positive therefore the line through the given points rises.

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