Concept explainers
(a)
To find: the expression of the slope of secant through the two givens point.
(a)
Answer to Problem 47E
Explanation of Solution
Given:
The two points that the slope of the secant line pass through are
Concept used:
Secant is a line that intersects the graph of a function in two or more points.
Slope of straight lines formula:
Calculation:
As secant is a line that intersects the graph of a function in two or more points. Consider the function is
Now it has to find an expression for the slope of the secant through the points
It is known that the slope formula passing through the point
Using the slope formula
Hence, the expression for the slope is
(b)
To find: the slope of the secant as
(b)
Answer to Problem 47E
The slope is
Explanation of Solution
Given:
The two points that the slope of the secant line pass through are
Concept used:
Secant is a line that intersects the graph of a function in two or more points.
Slope of straight lines formula:
Calculation:
Since, the slope of the secant as
Hence, slope is
Chapter 3 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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