Precalculus (6th Edition) Blitzer

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

Chapter 4 - Section 4.6 - Graphs of Other Trigonometric Functions - Exercise Set - Page 612: 101


point-slope form:$$y-4=-3(x-(-3))$$ slope-intercept form:$$y=-3x-5$$

Work Step by Step

The line passing through the points $(-1, -2)$ and $(-3, 4)$ has slope$$m=\frac{4-(-2)}{-3-(-1)}=-3.$$So, by choosing the point $(-3, 4)$, the line has the point-slope form$$y-4=-3(x-(-3))$$and the slope-intercept form$$y-4=-3(x-(-3)) \quad \Rightarrow \quad y=-3x-5.$$
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