# Chapter 2 - Section 2.5 - The Point-Slope Form of the Equation of a Line - Exercise Set - Page 163: 30

(a) $3$ (b) $-\frac{1}{3}$

#### Work Step by Step

RECALL: (i) The slope-intercept form of a line's equation is $y=mx+b$, where m=the slope and b=the y-intercept. (ii) Parallel lines have equal slopes. (iii) Perpendicular lines have opposite reciprocal slopes. The given line has $m=3$, so its slope is $3$. Thus, (a) The slope of any line parallel to the given line is: =$3$ (b) The slope of any line perpendicular to the given line is: $=-\frac{1}{3}$

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.