Explanation Procedure used: 1. Use the slope formula m = y 2 − y 1 x 2 − x 1 and obtain the slope of the line that passes through the given pair of points. 2. substitute the above obtain slope in the point-slope form of a linear equation of a straight line y − y 1 = m ( x − x 1 ) , where x 1 and y 1 are the points of the given point and m is the slope of the line. 3. Express the equation in slope intercept form y = m x + b . Calculation: From the given information, the values of x 1 , y 1 , x 2 and y 2 are 4 , 6 , 1 and − 1 , respectively. Compute the slope as follows. Substitute x 1 = 4 , y 1 = 6 , x 2 = 1 and y 2 = − 1 m = y 2 − y 1 x 2 − x 1 . m = − 1 − 6 1 − 4 = − 7 − 3 = 7 3 Thus, the slope of the line passing the points ( 4 , 6 ) and ( 1 , − 1 ) is 7 3

Pearson eText for College Mathematics for Trades and Technologies -- Instant Access (Pearson+)

10th Edition

ISBN: 9780137400010

Author: Cheryl Cleaves, Margie Hobbs

Publisher: PEARSON+

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Chapter 9, Problem 124RE

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The equation of the line passing through the points (4,6) and (1,−1) and solve for y.

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Chapter 9, Problem 123RE

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Chapter 9 Solutions

Pearson eText for College Mathematics for Trades and Technologies -- Instant Access (Pearson+)

Ch. 9.1 - Find y if x = 4 in the equation 3x + 2y = 6. Ch. 9.1 - Locate the points in Fig. 9–12 by giving the...Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E Ch. 9.1 - Prob. 8E Ch. 9.1 - Prob. 9E

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