Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 2 - Section 2.1 - Linear Equations in Two Variables - 2.1 Exercises: 78



Work Step by Step

To find the midpoint between points $(x_1,y_1)$ and $(x_2,y_2)$, we use the midpoint formula: $\displaystyle Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$ We have the two points, $P(7,10)$ and $Q(x,y)$. The midpoint is $M(5,3)$. Thus we have: $\displaystyle Midpoint=(\frac{7+x}{2},\ \frac{10+y}{2})=(5,3)$ We solve for $x$: $\frac{7+x}{2}=5$ $7+x=10$ $x=3$ And for $y$: $\frac{10+y}{2}=3$ $10+y=6$ $y=-4$ Therefore, the point Q is: $(3,-4)$
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