Question

the slope of a line is given.
\\m = \frac{6}{13}\\
(a) determine the slope of a line parallel to the given line, if possible.
(b) determine the slope of a line perpendicular to the given line, if possible.

part 1 of 2
(a) the slope of the parallel line is

part 2 of 2
(b) the slope of the perpendicular line is

Explanation:

Step1: Identify parallel slope

Parallel lines have equal slopes.

$$m_{\text{parallel}} = m = \frac{6}{13}$$

Step2: Identify perpendicular slope

Perpendicular lines have negative reciprocal slopes.

$$m_{\text{perpendicular}} = -\frac{1}{m} = -\frac{13}{6}$$

Answer:

(a) \(\frac{6}{13}\)
(b) \(-\frac{13}{6}\)