Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 3 - Section 3.4 - Slope and Rate of Change - Exercise Set - Page 242: 86

Answer

Slope between $(1,1)$ and $(-3,0)$ $\frac{0-1}{-3-1}=\frac{-1}{-4}=\frac{1}{4}$ Slope between $(-4,4)$ and $(-3,0)$ $\frac{0-4}{-3-(-4)}=\frac{-4}{1}=-4$ A right angled triangle has a right angle, meaning two sides are perpendicular to each other. One slope must be the negative reciprocal of the other. $-4$ is the negative reciprocal of $\frac{1}{4}$. Therefore, this forms a right angled triangle.

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