Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter F - Foundations: A Prelude to Functions - Section F.3 Lines - F.3 Assess Your Understanding - Page 30: 48



Work Step by Step

The equation of a line in the point-slope form is the following: $y-y_1=m(x-x_1)$, where $m$ is the slope and the point $(x_1,y_1)$ is on the graph. Here, our line's slope is: $m=\frac{1}{2}$ Therefore, using the point $(3, 1)$ and the slope $|frac{1}{2}$, the equation can be written as: $y-1=\dfrac{1}{2}(x-3)\\ y-1=\dfrac{1}{2}x-\dfrac{3}{2}\\ y=\dfrac{1}{2}x-\dfrac{3}{2}+1\\ y=\dfrac{1}{2}x-\dfrac{1}{2}$
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