Answer
$$ (\frac{a-b}{2}, \frac{a^2-b^2}{2})$$
Work Step by Step
We see that the two points are:
$$ (a,a^2) \\ (b,b^2)$$
Thus, the midpoint is:
$$ (\frac{a-b}{2}, \frac{a^2-b^2}{2})$$
Elementary Geometry for College Students (7th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
Published by
Cengage
ISBN 10:
978-1-337-61408-5
ISBN 13:
978-1-33761-408-5
Chapter 10 - Section 10.3 - Preparing to Do Analytic Proofs - Exercises - Page 468: 40
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