Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 12 - Test - Page 909: 9

Answer

Yes, this equation is linear The inverse function is y = -$\frac{x-6}{2}$

Work Step by Step

This equation is a linear equation The equation states that y = 6 - 2x This can be written as y = -2x + 6 This is the same format as y = mx + c Therefore, it can be said that this equation plots a linear graph A general rule is that all linear equations are one-to-one functions, and by identifying that an equation is linear, you know that that specific equation is also a one-to-one function. To find the inverse of the equation, the swap y for x and then re-arrange the equation to make y the subject as seen in the attached image.
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