Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 5 - Linear Functions - 5-1 Rate of Change and Slope - Practice and Problem-Solving Exercises - Page 300: 54


Yes, the points lie on the same line.

Work Step by Step

Use the slope formula $\frac{y_{1}-y_{2}}{x_{1}-x_{2}}$ to find the slope between each pair of points. $GH=\frac{(-2)-(-5)}{1-(-1)}=\frac{3}{2}$ $HI=\frac{(-5)-(4)}{(-1)-(5)}=\frac{-9}{-6}=\frac{3}{2}$ As both of them have the same slope of $\frac{3}{2}$, the points lie on the same line.
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