Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.10 - Lines - 1.10 Exercises - Page 115: 74

Answer

neither parallel nor perpendicular

Work Step by Step

RECALL" (i) Two lines are parallel if they have (a) equal slopes or (b) undefined slopes. (ii) Two lines are perpendicular if they have (a) slopes whose product is $-1$ or (b) if one has a zero slope and the other has an undefined slope. (iii) The slope-intercept form of a line's equation is $y=mx+b$ where m = slope and b=y-intercept. Write both equations in slope-intercept form to have: Equation 1: $y=\frac{1}{2}x+4$ Equation 2: $4y=-2x+1 \\y=\frac{-2x+1}{4} \\y=-\frac{1}{2}x+0.25$ The line have unequal slopes whose product is not equal to $-1$. Thus, the lines are neither parallel nor perpendicular.
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