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 196: 77

Answer

$m = -5$

Work Step by Step

We are given the two points $(1, 1)$ and $(2, -4)$. Let's use the formula to find the slope $m$ given two points: $m = \frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1, y_1)$ and $(x_2, y_2)$ are points on the line. Let's plug in the values into this formula: $m = \frac{-4 - 1}{2 - 1}$ Subtract the numerator and denominator to simplify: $m = \frac{-5}{1}$ Simplify by dividing the numerator by the denominator: $m = -5$
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