Explanation Definition: The straight line joining two points on a graph is known as a secant line to the graph. Calculation: Given, The graph y = x from x = 4 to x = 9. First, we find the slope of the secant line which is the same as the average rate of change for y = f ( x ) = x from x = 4 to x = 9. Where, f ( 9 ) = 9 = 3 f ( 4 ) = 4 = 2 Slope = Average rate of change m = f ( b ) − f ( a ) b − a Here, b = 9 and a = 4 m = f ( 9 ) − f ( 4 ) 9 − 4 m = 3 − 2 5 m = 1 5 Thus, the secant line is the form of y = m x + b

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ISBN: 9780357422496

Author: Crauder

Publisher: CENGAGE L

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Chapter 3.FR3, Problem 2E

To determine

To find:

The equation of the secant line for the graph of y=x from x=4 to x=9.

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Chapter 3.FR3, Problem 1E

Chapter 3.FR3, Problem 3E

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