Explanation The definition states that the slope of the line is the rate of change of one quantity per unit second quantity. It is represented by m and 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 ”. A positive slope, m > 0 represents the growth in the function, negative slope, m < 0 represents the depreciation in the function whereas, the zero slope, m = 0 represents a constant function. It is represented by m and 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 ”. Graphically, Consider a graph of the from, Here, the graph shows an upward inclination, Thus, the slope of the line is positive. Now, consider the graph of the form, Here, the graph shows a downward drift, Thus, the slope of the line is negative. Further, consider the graph of the form, Here, the graph represents a constant function, Thus, the slope of the line is m = 0

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Chapter 3.2, Problem 1R

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The graphical and practical significance of the slope of a line.

Solution Summary: The author explains that the slope of a line represents the rate of change of one quantity per unit second quantity.

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