Algebra 1: Common Core (15th Edition)

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

Chapter 6 - Systems of Equations and Inequalities - 6-1 Solving Systems by Graphing - Practice and Problem-Solving Exercises - Page 367: 16

Answer

The solution is $(-4,4)$

Work Step by Step

$1$. First equation $y=-{\dfrac{1}{2}}x+2$.The slope is $m=-{\dfrac{1}{2}}$ and the y-intercept is $b=2$.Graph the first equation on a graph (blue line) $2.$ The second equation is $y={\frac{1}{2}}x+6$.The slope is $m={\frac{1}{2}}$ and the y-intercept is $b=6$.Graph the second equation (red line) $3.$ The two equations intersect at $(-4,4)$ so that's the solution.
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