Explanation Suppose that ( x 1 , y 1 ) And ( x 2 , y 2 ) are two points on the graph of the line y = m x + b . Then, these points must satisfy the equation of the line. That is, y 1 = m x 1 + b ............ (1) y 2 = m x 2 + b ............ (1) Subtract equation (1) from equation (2), y 2 − y 1 = m x 2 − m x 1 y 2 − y 1 = m ( x 2 − x 1 ) m = y 2 − y 1 x 2 − x 1 Now, slope is the rise (change in y values) over run (change in x values)

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 1.3, Problem 56PS

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To show:For the line y=mx+b , show that m=y2−y1x2−x1 . Also, show that the slope of line in m and its y-intercept is (0,b) .

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Chapter 1.3, Problem 55PS

Chapter 1.3, Problem 57PS

Chapter 1 Solutions

Calculus

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For the line y = m x + b , show that m = y 2 − y 1 x 2 − x 1 . Also, show that the slope of line in m and its y-intercept is ( 0 , b ) .

Solution Summary: The author explains that the slope of line in m and its y-intercept is (0,b).

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To show:For the line y=mx+b , show that m=y2−y1x2−x1 . Also, show that the slope of line in m and its y-intercept is (0,b) .

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Chapter 1 Solutions