College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 2 - Section 2.1 - The Distance and Midpoint Formulas - 2.1 Assess Your Understanding: 41

Answer

$(5, -1)$.

Work Step by Step

RECALL: The midpoint $d$ of the points $(x_1, y_1)$ and $(x_2, y_2)$ can be found using the midpoint formula: $\text{midpoint} = \left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)$ Use the midpoint formula above to obtain: $\text{midpoint}=\left(\frac{4+6}{2}, \frac{-3+1}{2}\right)=\left(\frac{10}{2}, \frac{-2}{2}\right)=(5, -1)$ Thus, the midpoint of the line segment joining the two given points is $(5, -1)$.
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