Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole

Chapter 1 - Linear Functions - 1.5 Finding Equations of Lines - 1.5 Exercises - Page 73: 4

Answer

y = -$\frac{3}{2}x$ + $\frac{5}{2}$

Work Step by Step

Two points clearly on the line are (-1,4) and (3,-2). By moving across the line from one point to the next, we can clearly see that the slope goes down (negative) 6 and moves to the right 4 units, giving us a slope of m= $-\frac{3}{2}$ Plugging one of our points into y=mx+b, we can find b and obtain the equation of the line. y=mx+b 4=$-\frac{3}{2}$(-1) + b 4 = $\frac{3}{2}$ + b $\frac{5}{2}$ = b And our line is thus y = -$\frac{3}{2}x$ + $\frac{5}{2}$

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