College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Chapter 2 Review - Exercises - Page 269: 66

Answer

$y=2x-4$

Work Step by Step

A linear function has the form $f(x)=ax+b$, with $a=$slope and $b=$y-intercept. We calculate the slope from $(0,-4)$ and $(2,0)$ using the graph: slope=$\frac{0--4}{2-0}=\frac{4}{2}=2$ We can find the $y$-intercept by looking at the $y$ value at $x=0$: $f(0)=-4$ Therefore, the equation is: $y=2x-4$.
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