Explanation Formula used: The equations x = x 0 + a t , y = y 0 + b t , for − ∞ < t < ∞ , where x 0 , y 0 , a and b with a ≠ 0 , describe a line with slope b a passing through the point ( x 0 , y 0 ) . If a = 0 and b ≠ 0 , the line is vertical. Calculation: The line is passing through the points P ( 1 , 1 ) and Q ( 3 , 5 ) . Then, the slope of the line will be, Slope = 1 − 5 1 − 3 = − 4 − 2 = 2 Notice that, the line is oriented in the direction of increasing x . So, b = 4 and a = 2 . Choose P ( 1 , 1 ) as the initial point

Single Variable Calculus: Early Transcendentals, Books a la Carte, and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition)

3rd Edition

ISBN: 9780134996103

Author: William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher: PEARSON

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Chapter 12.1, Problem 49E

To determine

The parametric equations for the line passes through the points P(1,1) and Q(3,5), oriented in the direction of increasing x.

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Chapter 12.1, Problem 48E

Chapter 12.1, Problem 50E

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Chapter 12 Solutions

Single Variable Calculus: Early Transcendentals, Books a la Carte, and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition)

Ch. 12.1 - Identify the graph generated by the parametric...Ch. 12.1 - Prob. 2QC Ch. 12.1 - Prob. 3QC Ch. 12.1 - Prob. 4QC Ch. 12.1 - Prob. 5QC Ch. 12.1 - Prob. 6QC Ch. 12.1 - Explain how a pair of parametric equations...Ch. 12.1 - Prob. 2E Ch. 12.1 - Prob. 3E Ch. 12.1 - Prob. 4E

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The parametric equations for the line passes through the points P ( 1 , 1 ) and Q ( 3 , 5 ) , oriented in the direction of increasing x .

Solution Summary: The author describes the parametric equations for the line passing through the points P(1,1) and Q

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The parametric equations for the line passes through the points P(1,1) and Q(3,5), oriented in the direction of increasing x.

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Chapter 12 Solutions