## College Algebra (10th Edition)

Published by Pearson

# Chapter 2 - Section 2.1 - The Distance and Midpoint Formulas - 2.1 Assess Your Understanding - Page 155: 43

#### Answer

$(\frac{a}{2}, \frac{b}{2})$.

#### 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: $\text{midpoint}=\left(\frac{a+0}{2}, \frac{b+0}{2}\right)=\left(\frac{a}{2}, \frac{b}{2}\right)$ Thus, the midpoint of the line segment joining the two given points is $(\frac{a}{2}, \frac{b}{2})$.

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