Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 1 - Precalculus Review - 1.2 Linear and Quadratic Functions - Exercises: 15

Answer

$y = 3x - 2$

Work Step by Step

The line is parallel to $y=3x-4$, passes through the point $(1,1)$ Two parallel lines must have the same slope. and since the slope of $y=3x-4$ is 3, we know now that the line's slope is also 3. Now with a point and the slope we can use the formula: $y - Y_1 = m(x - X_1)$ Let's replace the values with the point and the slope: $y - 1 = 3 (x - 1)$ $y = 3x - 3 + 1$ $y = 3x - 2$
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