Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 5 - Linear Functions - 5-3 Slope-Intercept Form - Practice and Problem-Solving Exercises: 22

Answer

y=-$\frac{1}{2}$x+3

Work Step by Step

The point-slope form is y=mx+b.The formula for slope is m=$\frac{y2-y1}{x2-x1}$. Using points from the graph (0,3)(2,2), m=$\frac{3-2}{0-2}$=-$\frac{1}{2}$ Therefore the slope is -$\frac{1}{2}$. Using the point-slope formula and (2,2): 2=-$\frac{1}{2}$(2)+b 2=-1+b b=3 Plug these values into the point-slope form so the equation is y=-$\frac{1}{2}$x+3.
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