## College Algebra 7th Edition

Published by Brooks Cole

# Chapter 2, Functions - Chapter 2 Review - Exercises - Page 269: 65

#### Answer

$y=-\frac{1}{2}x+4$

#### 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 $(0,4)$ to $(8,0)$ using the graph: slope=$\frac{0-4}{8-0}=\frac{-4}{8}=-\frac{1}{2}$ We can find the $y$-intercept by looking at the $y$ value at $x=0$: $f(0)=4$ Therefore, the equation is: $y=-\frac{1}{2}x+4$

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