College Algebra (11th Edition)

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

Chapter 2 - Section 2.5 - Equations of Lines and Linear Models - 2.5 Exercises - Page 230: 71

Answer

$d(P,\ Q)=\sqrt{(x_{2}-x_{1})^{2}+(m_{2}x_{2}-m_{1}x_{1})^{2}}$

Work Step by Step

To find the distance between two points $(x_1,y_1)$ and ($x_2$,$y_2$), we use the distance formula: $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ We find the distance from point $P(x_1,m_1x_1)$ to $Q(x_2,m_2x_2)$: $d(P,\ Q)=\sqrt{(x_{2}-x_{1})^{2}+(m_{2}x_{2}-m_{1}x_{1})^{2}}$
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