Question

slopes of parallel and perpendicular lines
for the given slope, find the slope of any parallel and perpendicular line to it.

	slope of a line	slope of any parallel line	slope of any perpendicular line
2)	$\frac{6}{7}$	$\frac{6}{7}$	$-\frac{7}{6}$
3)	6	6	$-\frac{1}{6}$
4)	$\frac{2}{3}$	$\frac{2}{3}$	$-\frac{3}{2}$
5)	9	9	$-\frac{1}{9}$
6)	7
7)	6
8)	$\frac{6}{7}$
9)	$\frac{5}{8}$
10)	8

Explanation:

Step1: Parallel slope = given slope

Parallel lines have equal slopes.

Step2: Perpendicular slope = negative reciprocal

Perpendicular slope is $-\frac{1}{m}$ for given slope $m$.

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For row 6:

Step1: Identify given slope

Given slope $m=7$

Step2: Find parallel slope

Parallel slope = $7$

Step3: Find perpendicular slope

Perpendicular slope = $-\frac{1}{7}$

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For row 7:

Step1: Identify given slope

Given slope $m=6$

Step2: Find parallel slope

Parallel slope = $6$

Step3: Find perpendicular slope

Perpendicular slope = $-\frac{1}{6}$

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For row 8:

Step1: Identify given slope

Given slope $m=\frac{6}{7}$

Step2: Find parallel slope

Parallel slope = $\frac{6}{7}$

Step3: Find perpendicular slope

Perpendicular slope = $-\frac{7}{6}$

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For row 9:

Step1: Identify given slope

Given slope $m=\frac{5}{8}$

Step2: Find parallel slope

Parallel slope = $\frac{5}{8}$

Step3: Find perpendicular slope

Perpendicular slope = $-\frac{8}{5}$

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For row 10:

Step1: Identify given slope

Given slope $m=8$

Step2: Find parallel slope

Parallel slope = $8$

Step3: Find perpendicular slope

Perpendicular slope = $-\frac{1}{8}$

Answer:

	Slope of a Line	Slope of Any Parallel Line	Slope of Any Perpendicular Line
7)	6	$6$	$-\frac{1}{6}$
8)	$\frac{6}{7}$	$\frac{6}{7}$	$-\frac{7}{6}$
9)	$\frac{5}{8}$	$\frac{5}{8}$	$-\frac{8}{5}$
10)	8	$8$	$-\frac{1}{8}$