BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1, Problem 32RCC

(i)

To determine

To check: The lines are parallel at given slopes m1 and m2 .

Expert Solution

Answer to Problem 32RCC

The lines are parallel if m1=m2 .

Explanation of Solution

The slope is the measure of the angle of a line from the horizontal. Since parallel lines must have the same angle, then parallel lines have same slope and the lines that have the same slope are parallel that is,

m1=m2

Thus, the slope of parallel lines are equal that is m1=m2 .

(ii)

To determine

To check: Whether the lines are perpendicular at given slopes m1 and m2 .

Expert Solution

Answer to Problem 32RCC

The lines are perpendicular if m2=1m1

Explanation of Solution

Explain:

Perpendicular lines having negative slope, because it will have to be a decreasing line, So the perpendicular lines have slopes which have opposite signs that means perpendicular slopes is that their values are reciprocal.

Thus, The slope of perpendicular line is the negative reciprocal of the slope of the original line that is m2=1m1 .

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