Algebra 1

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

Chapter 5 - Linear Functions - 5-3 Slope-Intercept Form - Practice and Problem-Solving Exercises: 72

Answer

a=-$\frac{1}{2}$

Work Step by Step

When a linear equation is written in slope-intercept form, or y=mx+b form, m=slope and b=y-intercept. The equation y=2ax+4 is written in y=mx+b form and has a slope of 2a. Since m=-1, we can solve for a now that we know m=2a because if m=-1, and m=2a, then -1=2a Now, to solve for a, we divide by 2 on both sides $\frac{-1}{2}$=$\frac{2a}{2}$ a=-$\frac{1}{2}$
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