Explanation Consider the slope of a line. According to the definition a slope of a line is the rate of change of one quantity with respect to other. Mathematically, the slope m of a line passing through two points ( x 1 , y 1 ) and ( x 2 , y 2 ) , is computed using the formula “ m = y 2 − y 1 x 2 − x 1 ”. Since, the slope is the ratio of difference of the value attained by one quantity to the difference of other quantity, this implies The slope gives the change in one quantity per unit second quantity. Thus, it is described as the rate of change. For Example: Consider a set of data points represented in the graph showing the depreciation in the value of the car per year, Now, consider any to points say ( 1 , 13000 ) and ( 3 , 9000 ) . Here, x 1 = 1 , x 2 = 3 , y 1 = 13 , 000 , y 2 = 9 , 000

1st Edition

ISBN: 9781259218859

Author: David Sobecki Professor, Brian A. Mercer

Publisher: McGraw-Hill Education

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Chapter 3.2, Problem 12G

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The way of computing the slope of a line and the reason due to which the slope represents the rate of change.

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Chapter 3.2, Problem 11G

Chapter 3.2, Problem 13G

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Chapter 3 Solutions

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The way of computing the slope of a line and the reason due to which the slope represents the rate of change.

Solution Summary: The author explains that the slope of a line is the rate of change of one quantity with respect to another.

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Chapter 3 Solutions