Intermediate Algebra (12th Edition)

Published by Pearson

Chapter 2 - Section 2.2 - The Slope of a Line - 2.2 Exercises - Page 159: 86

Parallel.

Work Step by Step

We know that two parallel lines have the same slope ($m_1=m_2$). We also know that perpendicular lines have negative reciprocal slopes ($m_1=-\frac{1}{m_2}$). A line in slope-intercept form has the equation: $y=mx+b$ ($m=slope$, $b=y-intercept$) We put the line equations into slope-intercept form: $3x=y$ $y=3x+0$ $2y-6x=5$ $2y=6x+5$ $y=3x+5/2$ The two slopes ($3$ and $3$) are equal. Thus the lines are parallel.

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