Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 9 - Section 9.5 - Parametric Equations - Exercise Set - Page 1020: 44


$ y-y_1=\dfrac{(y_2-y_1)}{(x_2-x_1)}(x-x_1)$; Point-slope Equation

Work Step by Step

Re-arrange the parametric equations as shown below: $ t=\dfrac{x-x_1}{x_2-x_1}$ and $ t=\dfrac{y-y_1}{y_2-y_1}$ Now, $\dfrac{x-x_1}{x_2-x_1}=\dfrac{y-y_1}{y_2-y_1}$ $\implies y-y_1=\dfrac{(x-x_1)(y_2-y_1)}{(x_2-x_1)}$ $\implies y-y_1=\dfrac{(y_2-y_1)}{(x_2-x_1)}(x-x_1)$ Therefore, $ y-y_1=\dfrac{(y_2-y_1)}{(x_2-x_1)}(x-x_1)$; Point-slope Equation
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