If a line has slope m = 0, then the line is _______. If a line has an undefined slope, then the line is _______.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter9: Real Numbers And Right Triangles
Section9.5: The Distance And Midpoint Formulas
Problem 23E
icon
Related questions
icon
Concept explainers
Question

If a line has slope m = 0, then the line is _______. If a line has an undefined slope, then the line is _______.

 

Expert Solution
Step 1

Given:

If a line has slope m = 0, then the line is _______. If a line has an undefined slope, then the line is _______.

Step 2

To find whether the line is vertical or horizontal if a line has slope m = 0 and if a line has an undefined slope.

Case i) If a line has slope m = 0.

The equation for the slope-intercept is y = mx + c, where c is the y-intercept.

For m = 0, y = c.

That is, the line will be horizontal.

Case ii) If a line has an undefined slope, m=.

The equation for the slope-intercept is y = mx + c, where c is the y-intercept.

m=yx=y0=, for x=0.

That is, the line will be vertical.

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Points, Lines and Planes
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning