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: 80

Answer

$Q(3.5,2.25)$

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, $P(2.5,1.75)$ and $Q(x,y)$. The midpoint is $M(3,2)$. Thus we have: $\displaystyle Midpoint=(\frac{2.5+x}{2},\ \frac{1.75+y}{2})=(3,2)$ We solve for $x$: $\frac{2.5+x}{2}=3$ $2.5+x=6$ $x=3.5$ And for $y$: $\frac{1.75+y}{2}=2$ $1.75+y=4$ $y=4-1.75$ $y=2.25$ Therefore, the point Q is: $(3.5,2.25)$
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