Explanation Given Information: The points on the line, ( 5 , 5 ) and ( − 2 , − 2 ) Formula used: Point-Slope Form : If m is the slope and ( x 1 , y 1 ) is any point on a non-vertical straight line, its equation is written as y − y 1 = m ( x − x 1 ) Also, the slope of the line is m = y − y 1 x − x 1 Calculation: Consider the Point-Slope form, y − y 1 = m ( x − x 1 ) For the slope of the line, substitute the values of the points ( x , y ) and ( x 1 , y 1 ) as ( 5 , 5 ) and ( − 2 , − 2 ) in the slope formula, m = y − y 1 x − x 1 m = 5 − ( − 2 ) 5 − ( − 2 ) Simplify the above equation, m = 5 + 2 5 + 2 m = 7 7 m = 1 Thus, the slope of the line is m = 1

12th Edition

ISBN: 9781337630580

Author: Dale Ewen

Publisher: Cengage Learning

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Chapter 8.4, Problem 56E

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To calculate: The equation of a line through the points (5, 5) and (−2, −2).

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Chapter 8.4, Problem 55E

Chapter 8.4, Problem 57E

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The equation of a line through the points ( 5 , 5 ) and ( − 2 , − 2 ) .

Solution Summary: The author explains how to calculate the equation of a line through the points underset_y=x.

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To calculate: The equation of a line through the points (5, 5) and (−2, −2).

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