College Algebra 7th Edition

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

Chapter 2, Functions - Section 2.2 - Graphs of Functions - 2.2 Exercises: 75

Answer

$f(x)=-\frac{7}{6}x-\frac{4}{3}$

Work Step by Step

To find the equation of the line, we first find the slope between the points $(-2,1)$ and $(4,\ -6)$: $m=\displaystyle \frac{-6-1}{4--2}=-\frac{7}{6}$ Next, we plug in one of the points $(-2,1)$ and the slope into the point-slope formula for a line: $y-1=-\displaystyle \frac{7}{6}(x+2)$ $y=-\frac{7}{6}x-\frac{7*2}{6}+1$ $y=-\frac{7}{6}x-\frac{7}{3}+1$ $y=-\frac{7}{6}x-\frac{4}{3}$
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