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Q. 4

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Precalculus Enhanced with Graphing Utilities

Found in: Page 89

Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

Write the point–slope form of the line with slope 5 containing the point (3, -2).

Point - slope form of the line is

$y + 2 = 5 (x - 3)$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1 : Given Information

Given that slope is 5 and the point on the line is (3, -2).

Step 2: Point - slope

An equation of a nonvertical line with slope m that contains the point (x1, y1) is

$y - y_{1} = m (x - x_{1}) m = 5 a n d P o i n t (3, - 2) y - (- 2) = 5 (x - 3) P o i n t s l o p e f o r m o f t h e l i n e i s y + 2 = 5 (x - 3)$

Most popular questions for Math Textbooks

Graph the function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function and show all stages. Be sure to show at least three key points. Find the domain and the range of each function. Verify your results using a graphing utility.

$f (x) = {(x - 1)}^{3} + 2$

True or False

The graph of $y = - f (x)$ is the reflection about the $x$ -axis of the graph of $y = f (x)$ .

Suppose that the graph of a function $g$ is known. The graph of $y = g (x) + 2$ may be obtained by a _______ shift of the graph of $g$ ________ a distance of $2$ units.

In Problems 7–18, match each graph to one of the following functions:

$A . y = x^{2} + 2 B . y = - x^{2} + 2 C . y = |x| + 2 D . y = - |x| + 2 E . y = {(x - 2)}^{2} F . y = - {(x + 2)}^{2} G . y = |x - 2| H . y = - |x + 2| I . y = 2 x^{2} J . y = - 2 x^{2} K . y = 2 |x| L . y = - 2 |x|$

Suppose that the graph of a function f is known. Then the graph of $y = f (x - 2)$ may be obtained by a(n) ________ shift of the graph of $f$ to the ________ a distance of $2$ units.

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

Write the point–slope form of the line with slope 5 containing the point (3, -2).

Step by Step Solution

Step 1 : Given Information

Step 2: Point - slope

Most popular questions for Math Textbooks

Want to see more solutions like these?

Recommended explanations on Math Textbooks

Select your language

Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

Write the point–slope form of the line with slope 5 containing the point (3, -2).

Step by Step Solution

Step 1 : Given Information

Step 2: Point - slope

Most popular questions for Math Textbooks

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