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Q23.

Expert-verified

Pre-algebra

Found in: Page 410

Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

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Short Answer

Graph the equation. Tell whether the equation is a function.
$y = - 5 x + 2$

The equation $y = - 5 x + 2$ is a function.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information.

The given equation is $y = - 5 x + 2$ .

Step 2. Calculation.

We can see that our given equation is in slope-intercept form $y = m x + b$ , where m represents slope of line and b represents the y-intercept.

Upon looking at our given equation, we can see that the slope of our given line is $- 5$ and the y-intercept is at point $(0, 2)$ .

Upon graphing $y = - 5 x + 2$ , we will get our required graph as shown below:

We can see that no vertical line will intersect the graph of equation $y = - 5 x + 2$ more than one place that is each x value corresponds to a specific y-value.

Therefore, the equation $y = - 5 x + 2$ is a function.

Step 3. Conclusion.

The given equation is a function.

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