# To check: The lines are parallel at given slopes m 1 and m 2 .

### Precalculus: Mathematics for Calcu...

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

### 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

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

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 .

### Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!