College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 2 - Section 2.3 - Lines - 2.3 Assess Your Understanding: 77

Answer

$\text{slope}=m=\frac{1}{2}; \\\text{y-intercept}=b=2$ Refer to the image below for the graph.
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Work Step by Step

RECALL: The slope-intercept form of a line's equation is: $y=mx+b$ where $m$ = slope and $b$ = y-intercept The given equation is in slope-intercept form with: $\text{slope}=m=\frac{1}{2}; \\\text{y-intercept}=b=2$ To graph the line, perform the following steps: (1) Plot the y-intercept point $(0, 2)$. (2) Use the slope $\frac{1}{2}$ to find another point on the line. From $(0, 2)$, move up 1 unit (the rise) and move 2 units to the right (the run) to arrive at the point $(2, 3)$. (3) Complete the graph by connecting the two points using a straight line. (refer to the attached image in the answer part above for the graph)
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