Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 5 - Linear Functions - 5-6 Parallel and Perpendicular Lines - Got It? - Page 331: 1

Answer

The graph of $y =2X + 5$ passes through $(-3,-1)$ and is parallel to the graph of $y=2x+3$.

Work Step by Step

The slope of the graph of $y =2x+3$ is $2$. The parallel line has the same slope. Write an equation in slope-intercept form. $y-y_1=m(x-x_1)$ $y+1=2(x+3)$ $y+1=2x+6$ $y=2x+5$ The graph of $y =2X + 5$ passes through $(-3,-1)$ and is parallel to the graph of $y=2x+3$.
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