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 - Chapter Review - Page 409: 4

Answer

(-8,-11)
1525903127

Work Step by Step

We can graph the first equation by using the slope and the y-intercept. Both equations are in the form of y=mx+b where m is the slope and b is the y-intercept. The first equation is: 1. y=3x+13 First start by plotting the point (0,13) because 13 in the equation is the y-intercept. Then from that point, go up three units and 1 unit to the right and plot the next point because the slope or "m" is (31). Then you can use a ruler and draw a line between the two points. For the second equation we can do the same and use the slope and y-intercept. The second equation is: 2. y=x-3 First plot the point (0, -3) because -3 in the equation is "b" or the y-intercept. Then go up one unit and right 1 unit since the slope is (11). Next draw a line between the two points that extends outwards using a ruler. You should see that both lines meet each other on the point (-8, -11). This is the solution of the equation. The graph is attached above in the answer.
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