Precalculus (6th Edition) Blitzer

Published by Pearson

Chapter 1 - Section 1.5 - More on Slope - Concept and Vocabulary Check: 4

Answer

$-2$; $\dfrac{1}{2}$

Work Step by Step

Write the given equation in the form $y=mx+b$ where m=slope and b=y-intercept to obtain: $y=-2x+6$ RECALL: For nonvertical lines: (1) Two lines are parallel if they have the same or equal slope. (2) Two lines are perpendicular if their slopes have a product of $-1$ The given line has a slope of $-2$. Thus: (1) Any line that is parallel to the given line has a slope of $-2$. (2) Any line that is perpendicular to the given line has a slope of $\frac{1}{2}$. Therefore, the missing expressions in the given statements are $-2$ and $\frac{1}{2}$, respectively.

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