Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

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

Answer

The point of intersection is $(-4,4)$

Work Step by Step

#$1$ First equation is $y=-\frac{1}{2}x+2$ Find the Slope and y-intercept to graph $Slope=m=\frac{-1}{2}$ $y-intercept = b =2$ To graph this equation first mark a point $2$ on y-axis then go down $1$ unit and $2$ unit right from the point mark on y-axis. Keep repeating process until you intersect with other line. #$2$ Second equation= $y=\frac{1}{2}x +6$ Find the Slope and y-intercept to graph $Slope = m = \frac{1}{2}$ $y-intercept = b = 6$ To graph this equation first mark a point 6 on y-axis then go up 1 point and right 2 points from the mark point on y-axis keep repeating until you get a point of intersection.
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