Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter P - P.2 - Linear Models and Rates of Change - Exercises - Page 17: 45


y = $\frac{11}{2}$x + $\frac{3}{4}$

Work Step by Step

First find the slope using the two given points. To find the slope use the slope definition. m = $\frac{\frac{7}{2}-\frac{3}{4}}{\frac{1}{2}-0}$ = $\frac{11}{2}$ Use the point slope form equation of the line to find the equation of the line. Note that you can plug in either point on the point-slope-form equation. y - $\frac{3}{4}$ = $\frac{11}{2}$(x- 0) Simplify: y = $\frac{11}{2}$x + $\frac{3}{4}$
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