Explanation Given Information: The slope of a line is the rate of change of the y -coordinate in comparison to the x -coordinate and the slope of a straight line remains constant throughout. According to the definition, the slope m of a line passing through two points ( x 1 , y 1 ) and ( x 2 , y 2 ) by is computed using the formula “ m = y 2 − y 1 x 2 − x 1 ”. Since, the slope of a line is the rate of change of one quantity with respect to other quantity and the slope of a straight line is constant throughout. So, the value of slope given by, m = y 2 − y 1 x 2 − x 1 is constant for a line irrespective of the point considered. This implies, the rate of change of one quantity when compared to another remains unchanged. Thus, if a quantity is changing at a constant rate with respect to another, then the set of quantities represent a straight line. For example: Consider the following table showing the set of two quantities x and y . x y 0 2 1 0 2 − 2 Compute the slope of line using the formula, m = y 2 − y 1 x 2 − x 1 for a set of any two points as, Slope of the line when the points ( 0 , 2 ) and ( 1 , 0 ) are considered is given as, Substitute x 1 = 0 , x 2 = 1 , y 1 <

1st Edition

ISBN: 9781259218859

Author: David Sobecki Professor, Brian A. Mercer

Publisher: McGraw-Hill Education

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Chapter 3.2, Problem 7C

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The factor due to which the relationship between two quantities is represented by a straight line, when the slope of a line is the rate of change of the y-coordinate in comparison to the x-coordinate and the slope of a line remains constant throughout.

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Chapter 3.2, Problem 6C

Chapter 3.2, Problem 8C

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Take another...Ch. 3.3 - Prob. 4R Ch. 3.3 - Prob. 1A Ch. 3.3 - Prob. 2A Ch. 3.3 - Prob. 3A Ch. 3.3 - Prob. 4A Ch. 3.3 - Prob. 5A Ch. 3.3 - Prob. 6A Ch. 3.3 - Prob. 7A Ch. 3.4 - Prob. 0LO Ch. 3.4 - Prob. 1G Ch. 3.4 - Prob. 2G Ch. 3.4 - Prob. 3G Ch. 3.4 - Prob. 4G Ch. 3.4 - Prob. 5G Ch. 3.4 - Use your equation to find the mass of each of the...Ch. 3.4 - What is the relationship between the slope of the...Ch. 3.4 - Prob. 8G Ch. 3.4 - Prob. 9G Ch. 3.4 - Prob. 10G Ch. 3.4 - Prob. 11G Ch. 3.4 - Prob. 12G Ch. 3.4 - Divide each distance in your table by the...Ch. 3.4 - Prob. 14G Ch. 3.4 - Prob. 15G Ch. 3.4 - Prob. 16G Ch. 3.4 - Prob. 17G Ch. 3.4 - Prob. 1R Ch. 3.4 - Prob. 2R Ch. 3.4 - Prob. 3R Ch. 3.4 - Use the Internet to find and write the current...Ch. 3.4 - Complete the table using the current exchange...Ch. 3.4 - Write an equation that will convert U.S. dollars...Ch. 3.4 - Which is the independent variable in your...Ch. 3.5 - Prob. 0LO Ch. 3.5 - Prob. 1C Ch. 3.5 - Prob. 2C Ch. 3.5 - Prob. 3C Ch. 3.5 - Prob. 4C Ch. 3.5 - Prob. 5C Ch. 3.5 - Prob. 6C Ch. 3.5 - Prob. 7C Ch. 3.5 - Prob. 8C Ch. 3.5 - Prob. 9C Ch. 3.5 - Prob. 10C Ch. 3.5 - Prob. 11C Ch. 3.5 - Prob. 12C Ch. 3.5 - Prob. 13C Ch. 3.5 - Prob. 14C Ch. 3.5 - Prob. 15C Ch. 3.5 - Prob. 1G Ch. 3.5 - Prob. 2G Ch. 3.5 - Prob. 3G Ch. 3.5 - Prob. 4G Ch. 3.5 - Prob. 5G Ch. 3.5 - Prob. 6G Ch. 3.5 - Prob. 7G Ch. 3.5 - Prob. 8G Ch. 3.5 - Prob. 9G Ch. 3.5 - Prob. 10G Ch. 3.5 - Prob. 11G Ch. 3.5 - Prob. 12G Ch. 3.5 - Prob. 13G Ch. 3.5 - Prob. 14G Ch. 3.5 - Prob. 15G Ch. 3.5 - Prob. 16G Ch. 3.5 - Prob. 17G Ch. 3.5 - Prob. 18G Ch. 3.5 - Prob. 1T Ch. 3.5 - Prob. 1R Ch. 3.5 - Prob. 2R Ch. 3.5 - Prob. 3R Ch. 3.5 - Prob. 4R Ch. 3.5 - Prob. 5R Ch. 3.5 - Prob. 1A Ch. 3.5 - Explain why a linear equation seems like a...Ch. 3.5 - Prob. 3A Ch. 3.5 - Prob. 4A Ch. 3.5 - Prob. 5A Ch. 3.5 - Prob. 6A Ch. 3.5 - Prob. 7A Ch. 3.5 - Prob. 8A Ch. 3.6 - Prob. 0LO Ch. 3.6 - Decide if you think the two quantities are likely...Ch. 3.6 - Prob. 2C Ch. 3.6 - Prob. 3C Ch. 3.6 - Prob. 4C Ch. 3.6 - Prob. 5C Ch. 3.6 - Prob. 6C Ch. 3.6 - Prob. 7C Ch. 3.6 - Prob. 8C Ch. 3.6 - Prob. 9C Ch. 3.6 - Prob. 10C Ch. 3.6 - Prob. 11C Ch. 3.6 - Prob. 12C Ch. 3.6 - Prob. 13C Ch. 3.6 - Prob. 14C Ch. 3.6 - When finding the line of best fit using a graphing...Ch. 3.6 - Prob. 16C Ch. 3.6 - Prob. 1G Ch. 3.6 - Prob. 2G Ch. 3.6 - Draw a scatter plot on graph paper with shoe size...Ch. 3.6 - Prob. 4G Ch. 3.6 - Prob. 5G Ch. 3.6 - Prob. 6G Ch. 3.6 - Prob. 7G Ch. 3.6 - Prob. 8G Ch. 3.6 - Prob. 9G Ch. 3.6 - Prob. 10G Ch. 3.6 - Prob. 11G Ch. 3.6 - Prob. 12G Ch. 3.6 - Prob. 13G Ch. 3.6 - Prob. 14G Ch. 3.6 - Do an Internet search for 1968 mens long jump....Ch. 3.6 - Prob. 1R Ch. 3.6 - Prob. 2R Ch. 3.6 - Prob. 3R Ch. 3.6 - Prob. 4R Ch. 3.6 - Prob. 1A Ch. 3.6 - Prob. 2A Ch. 3.6 - Use a graphing calculator or spreadsheet to create...Ch. 3.6 - What is the slope of the line? 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The factor due to which the relationship between two quantities is represented by a straight line, when the slope of a line is the rate of change of the y -coordinate in comparison to the x -coordinate and the slope of a line remains constant throughout.

Solution Summary: The author explains that the relationship between two quantities is represented by a straight line when the rate of change of one quantity with respect to another remains constant.

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The factor due to which the relationship between two quantities is represented by a straight line, when the slope of a line is the rate of change of the y-coordinate in comparison to the x-coordinate and the slope of a line remains constant throughout.

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Chapter 3 Solutions