Explanation Given Information: The provided equation is, 3 x + 5 y = 10 . Formula used: Slope-Intercept form: When the equation of the straight line is written in the form y = m x + b Then, the slope of the line is represented by m and the y -intercept is represented by b . Graph: Consider the provided equation 3 x + 5 y = 10 , To calculate the value of slope and y -intercept, solve the equation 3 x + 5 y = 10 for y . Therefore, subtract 3 x from both the sides of the equation, 3 x + 5 y = 10 − 3 x + 3 x + 5 y = − 3 x + 10 5 y = − 3 x + 10 Divide both sides of the equation by 5 , 5 y 5 = − 3 x + 10 5 y = − 3 x 5 + 10 5 = − 3 x 5 + 2 Thus, the equation of the Slope-Intercept form is, y = − 3 x 5 + 2 . Now, compare the equation y = − 3 x 5 + 2 with the general slope-intercept form y = m x + b

11th Edition

ISBN: 9781285199191

Author: Dale Ewen, C. Robert Nelson

Publisher: Cengage Learning

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Chapter 8.4, Problem 13E

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To graph: The equation 3x+5y=10 with the use of slope and y-intercept.

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Chapter 8.4, Problem 12E

Chapter 8.4, Problem 14E

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Chapter 8 Solutions

Elementary Technical Mathematics

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To graph: The equation 3 x + 5 y = 10 with the use of slope and y -intercept.

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