Algebra: A Combined Approach (4th Edition)

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

Chapter 3 - Section 3.2 - Graphing Linear Equations - Exercise Set - Page 214: 38

Answer

1st pair: $(-3,4)$ and $(2,4)$ 2nd pair: $(-3,-6)$ and $(2,-6)$

Work Step by Step

The pair of coordinates given is $(-3,-1)$ and $(2,-1)$. These are two vertices of a square. A square has sides of equal length. Knowing this, the distance between the two vertices in the x-axis must also be the same distance in the y-axis to another pair of vertices. This distance can either go in the positive direction of the y-axis or the negative direction, which is why there are two pairs. The distance is $2 - (-3)=5$ Thus the 1st pair is $(-3,(-1+5))$ and $(2,(-1+5))$, or $(-3,4)$ and $(2,4)$. And the 2nd pair is $(-3,(-1-5))$ and $(2,(-1-5))$, or $(-3,-6)$ and $(2,-6)$.
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