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 - Mid-Chapter Quiz - Page 393: 19

Answer

Both graphs would have the same slope and y-intercept.

Work Step by Step

When a system of equations yields infinitely many solutions, that means the two lines described by the equations are exactly the same line. Every point on one line described by one equation matches every point on the line described by the other equation. Therefore, if we, in essence, have the same line, then both graphs would have the same slope and y-intercept.
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