Explanation Given: Let ( x 1 , y 1 ) = ( 2 , − 3 ) and ( x 2 , y 2 ) = ( − 3 , 4 ) . Definition used: The slope of the line passing through the points ( x 1 , y 1 ) and ( x 2 , y 2 ) is m = y 2 − y 1 x 2 − x 1 , where x 2 ≠ x 1 . Formula used: Point-slope form “ If a line has slope m and passes through the point ( x 1 , y 1 ) , then an equation of the line is y − y 1 = m ( x − x 1 ) .” Calculation: Obtain the slope of the required equation of the line. Substitute ( 2 , − 3 ) for ( x 1 , y 1 ) and ( − 3 , 4 ) for ( x 2 , y 2 ) in m = y 2 − y 1 x 2 − x 1 , m = 4 − ( − 3 ) − 3 − 2 = 4 + 3 − 5 = 7 − 5 = − 7 5 Thus, the slope is m = − 7 5

Calculus with Applications Books a la Carte Edition

11th Edition

ISBN: 9780133864564

Author: Margaret L. Lial; Nathan P. Ritchey; Raymond N. Greenwell

Publisher: Pearson Education

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Chapter 1, Problem 28RE

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To find: The equation of the line in slope-intercept form.

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Calculus with Applications Books a la Carte Edition

Ch. 1.1 - YOUR TURN 1 Find the slope of the line through (1,...Ch. 1.1 - YOUR TURN 2 Find the equation of the line with...Ch. 1.1 - YOUR TURN 3 Find the slope of the line whose...Ch. 1.1 - YOUR TURN 4 Find the equation of the line through...Ch. 1.1 - Prob. 5YT Ch. 1.1 - YOUR TURN 6 Find the equation of the line passing...Ch. 1.1 - W1. Evaluate . (Sec. R.1) Ch. 1.1 - Solve each equation for y. (Sec. R.4) W2. y − (−3)...Ch. 1.1 - Solve each equation for y. (Sec. R.4) W3. Ch. 1.1 - Prob. 4WE

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A line...Ch. 1.1 - In Exercises 15–24, find an equation in...Ch. 1.1 - Prob. 16E Ch. 1.1 - Prob. 17E Ch. 1.1 - In Exercises 15–24, find an equation in...Ch. 1.1 - Prob. 19E Ch. 1.1 - Prob. 20E Ch. 1.1 - In Exercises 15–24, find an equation in...Ch. 1.1 - In Exercises 15–24, find an equation in...Ch. 1.1 - Prob. 23E Ch. 1.1 - Prob. 24E Ch. 1.1 - In Exercises 25–34, find an equation for each line...Ch. 1.1 - In Exercises 25–34, find an equation for each line...Ch. 1.1 - In Exercises 25–34, find an equation for each line...Ch. 1.1 - In Exercises 25–34, find an equation for each line...Ch. 1.1 - In Exercises 25–34, find an equation for each line...Ch. 1.1 - In Exercises 25–34, find an equation for each line...Ch. 1.1 - Prob. 31E Ch. 1.1 - Prob. 32E Ch. 1.1 - Prob. 33E Ch. 1.1 - In Exercises 25–34, find an equation for each line...Ch. 1.1 - Prob. 35E Ch. 1.1 - Prob. 36E Ch. 1.1 - Prob. 37E Ch. 1.1 - 38. 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Immigration In 1950, there were 249,187...Ch. 1.1 - 72. 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