## Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 5 - Linear Functions - 5-1 Rate of Change and Slope - Practice and Problem-Solving Exercises: 51

#### Answer

They are all the same line because they have the same rate.

#### Work Step by Step

(3,5)(-1,3)(7,7) We find the rate of all three points by using the slope formula ($\frac{b1−b2}{a1−a2}$); GH=$\frac{5-3}{3-(-1)}$=$\frac{2}{4}$=$\frac{1}{2}$ HI=$\frac{3-7}{-1-7}$=$\frac{-4}{-8}$=$\frac{1}{2}$ They both have the rate of $\frac{1}{2}$ so they are the same line.

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