Explanation Given: x = 2 − 2 t y = 1 + t Concept Used: The slope of parametric equations x = x 1 + a t and y = y 1 + b t is m = b a The y-intercept, and the x-intercept of the line of given equation are where x coordinate is zero and where y coordinate is zero respectively. Calculation: In order to find the slope of the equation whose parametric form is given x = 2 − 2 t y = 1 + t Compare these equations with x = x 1 + a t and y = y 1 + b t , we have a = − 2 , b = 1 Thus, the slope of given equation is m = b a = 1 − 2 = − 1 2 Now, from given equation x = 2 − 2 t ⇒</

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 1.3, Problem 31PS

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To find the slope, the y-intercept, and the x-intercept of the line of given equation, and sketch graph of the given equation

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Chapter 1.3, Problem 30PS

Chapter 1.3, Problem 32PS

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Chapter 1 Solutions

Calculus

Ch. 1.1 - Prob. 1PS Ch. 1.1 - Prob. 2PS Ch. 1.1 - Prob. 3PS Ch. 1.1 - Prob. 4PS Ch. 1.1 - Prob. 5PS Ch. 1.1 - Prob. 6PS Ch. 1.1 - Prob. 7PS Ch. 1.1 - Prob. 8PS Ch. 1.1 - Prob. 9PS Ch. 1.1 - Prob. 10PS

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To find the slope, the y-intercept, and the x-intercept of the line of given equation, and sketch graph of the given equation

Solution Summary: The author explains how to find the slope and x-intercept of the line of a given equation.

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To find the slope, the y-intercept, and the x-intercept of the line of given equation, and sketch graph of the given equation

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Chapter 1 Solutions