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Concept explainers
To list: all sets of information that are sufficient to write the equation.
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Answer to Problem 1CFU
SET 1: Plug m and b into slope intercept formula.
SET 2: Plug m and one set of point coordinates into slope intercept formula and evaluate b. After that plug m and b into the slope intercept formula.
SET 3: Since b is y-intercept. i.e. (0,b) is one point on the line. Plug (0,b) and another set of point coordinates into the point slope formula to evaluate m. Plug m and b into slope intercept formula.
SET 4: Plug two sets of point coordinates into point slope formula and evaluate m. Plug m and one point set into the slope −intercept formula and evaluate b. then put m and b into the slope intercept formula.
Explanation of Solution
Given information:
Calculation
SET 1: If m and b are known.
Plug m and b into slope intercept formula.
SET 2: If m and one set of point coordinates are known.
Plug m and one set of point coordinates into slope intercept formula and evaluate b. After that plug m and b into the slope intercept formula.
SET 3: If b and one set of point coordinates are known.
Since b is y-intercept. i.e. (0,b) is one point on the line. Plug (0,b) and another set of point coordinates into the point slope formula to evaluate m. Plug m and b into slope intercept formula.
SET 4: If two set of point coordinates are known.
Plug two sets of point coordinates into point slope formula and evaluate m. Plug m and one point set into the slope −intercept formula and evaluate b. then put m and b into the slope intercept formula.
Chapter 1 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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