Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 3 - Parallel and Perpendicular Lines - 3-7 Equations of Lines in the Coordinate Plane - Practice and Problem-Solving Exercises - Page 194: 8

Answer

$m = 2$

Work Step by Step

We are given the two points $(2, 2)$ and $(-1, -4)$. Let's use the formula to find the slope $m$ given two points: $m = \frac{y_2 - y_1}{x_2 - x_1}$ Let's plug in the values into this formula: $m = \frac{-4 - 2}{-1 - 2}$ Subtract the numerator and denominator to simplify: $m = \frac{-6}{-3}$ Simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is $-3$: $m = 2$
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