Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 1 - Linear Functions - 1.5 Finding Equations of Lines - 1.5 Exercises - Page 74: 9


y=$-\frac{5}{4}x$ + $\frac{15}{2}$

Work Step by Step

Two points clearly on the line are (2,5) and (6,0). By moving across the line from one point to the next, we can clearly see that the slope goes down (negative) 5 and moves to the right 4 units, giving us a slope of m= $-\frac{5}{4}$. We can now use one of those points to find b: Plugging (6,0) into y=mx+b: 0=$-\frac{5}{4}(6)$ + b b=$\frac{15}{2}$ And our line is thus y=$-\frac{5}{4}x$ + $\frac{15}{2}$.
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