Explanation Given: x = − 2 + t y = 4 − 5 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 + t y = 4 − 5 t Compare these equations with x = x 1 + a t and y = y 1 + b t , we have a = 1 , b = − 5 Thus, the slope of given equation is m = b a = − 5 1 = − 5 Now, from given equation of x we have value of t x = − 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 37PS

To determine

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

x=−2+ty=4−5t

And sketch it’s graph.

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Chapter 1.3, Problem 36PS

Chapter 1.3, Problem 38PS

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Chapter 1 Solutions

Calculus

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To find the slope, the y-intercept, and the x-intercept of the line of the equation x = − 2 + t y = 4 − 5 t And sketch it’s graph.

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

Concept explainers

Videos

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

x=−2+ty=4−5t

And sketch it’s graph.

Want to see the full answer?

Chapter 1 Solutions

To find the slope, the y-intercept, and the x-intercept of the line of the equation x = − 2 + t y = 4 − 5 t And sketch it’s graph.

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

Concept explainers

Videos

To find the slope, the y-intercept, and the x-intercept of the line of the equation x=−2+ty=4−5t And sketch it’s graph.

Want to see the full answer?

Chapter 1 Solutions

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

x=−2+ty=4−5t

And sketch it’s graph.