Concept explainers
Consider the line through the origin and the point (5, 7).
a. Pretend that you do not already know that equations of lines have a particular form. Derive and explain an equation for the line of the form
where m is a suitable number. In your explanation, attend to our definition of multiplication and explain why the equation holds for all points on the line (that have positive x- and y-coordinates).
b. In your own words, explain how to interpret m as the slope of the line.
Want to see the full answer?
Check out a sample textbook solutionChapter 7 Solutions
Pearson eText for Mathematics for Elementary Teachers with Activities -- Instant Access (Pearson+)
Additional Math Textbook Solutions
Basic College Mathematics (12th Edition)
Thinking Mathematically (6th Edition)
Calculus Volume 3
A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)
Calculus for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell