Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 1 - Graphs - Chapter Review - Chapter Project - Page 43: 2

Answer

Answer may vary, but using the points $(320, 305)$ and $(295, 300)$ yields $y=\frac{1}{5}x+241$.

Work Step by Step

Answer may vary, for example, point 1 $(320, 305)$ and point 2 $(295, 300)$, we can get the slope as: $\begin{align*} m&=\dfrac{y_2-y_1}{x_2-x_1}\\ &=\dfrac{305-300}{320-295}\\ &=\frac{1}{5} \end{align*}$ Using the point-slope form $y-y_1m(x-x_1)$ and the point $(295, 300)$, the equation of the line is: $\begin{align*} y-300&=\frac{1}{5}(x-295)\\ y-300&=\frac{1}{5}x-59\\ y&=\frac{1}{5}x-59+300\\ y&=\frac{1}{5}x+241 \end{align*}$
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