College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 2 - Review Exercises - Page 275: 1

Answer

Distance: $\sqrt{85}$ Midpoint: $M(-\frac{1}{2};2)$

Work Step by Step

The distance between two points can be calculated by the distance formula: $d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$ $d=\sqrt{(-4-3)^2+(5-(-1))^2}=\sqrt{(49+36)}=\sqrt{85}$ The midpoint can be calculated by the average of the x and y coordinates of the two points. $M(\frac{3+(-4)}{2};\frac{-1+5}{2})= (-\frac{1}{2};2)$
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