## College Algebra 7th Edition

Published by Brooks Cole

# Chapter 1, Equations and Graphs - Section 1.3 - Lines - 1.3 Exercises - Page 113: 74

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#### Work Step by Step

RECALL: (1) Parallel lines have equal slopes. (2) Perpendicular lines have slopes whose product is $-1$. (3) The slope-intercept form of a line's equation is $y=mx+b$ where $m$ = slope. Write the second equation in slope-intercept form to obtain: $2x+4y=1 \\4y=-2x+1 \\\dfrac{4y}{4}=\dfrac{-2x+1}{4} \\y = -\dfrac{1}{2}x +\dfrac{1}{4}$ The two line have slopes that are neither equal nor negative reciprocals of each other. Thus, the two lines are neither parallel nor perpendicular to each other.

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