9th Edition

ISBN: 9780321716835

Author: Michael Sullivan

Publisher: Addison Wesley

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Question

Chapter 1.3, Problem 1AYU

To determine

To fill in: the given blank

Expert Solution & Answer

Answer to Problem 1AYU

The slope of a vertical line is undefined. The slope of a horizontal line is zero.

Explanation of Solution

Given:

The slope of a vertical line is _________; the slope of a horizontal line is _____.

Calculation:

Slope is defined as change in y over change in x , and since all points on a vertical line have the same x -coordinate, the change in x between any two of these points must be zero. However, since it is notdivide by zero, the slope of a vertical line is undefined

Similarly, since all points on a horizontal line have the same y -coordinate, the change in y between any two points on a horizontal line is zero. Since zero divided by any number (except zero) is zero, the slope of a horizontal line is zero.

Conclusion:

The slope of a vertical line is undefined. The slope of a horizontal line is zero.

Chapter 1.2, Problem 94AYU

Chapter 1.3, Problem 2AYU

Chapter 1 Solutions

Precalculus

Ch. 1.1 - 1. On a real number line the origin is assigned...Ch. 1.1 - 2. If 3 and 5 are the coordinates of two points on...Ch. 1.1 - 3. If 3 and 4 are the legs of a right triangle,...Ch. 1.1 - 4. Use the converse of the Pythagorean Theorem to...Ch. 1.1 - 5. The area of a triangle whose base is b and...Ch. 1.1 - 6. True or False Two triangles are congruent if...Ch. 1.1 - 7. If ( x,y ) are the coordinates of a point P in...Ch. 1.1 - 8. The coordinate axes divide the xy-plane into...Ch. 1.1 - 9. If three distinct points P , Q and R all lie on...Ch. 1.1 - 10. True or False The distance between two points...

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