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 16: 12


The graph of the lines is shown below:

Work Step by Step

Point $(-2,5)$ $a)$ $m=3$ Using the point-slope form of the equation of a line, the equation of this line is: $y-5=3(x+2)$ $y-5=3x+6$ $y=3x+6+5$ $y=3x+11$ $b)$ $m=-3$ $y-5=-3(x+2)$ $y-5=-3x-6$ $y=-3x-6+5$ $y=-3x-1$ $c)$ $m=\dfrac{1}{3}$ $y-5=\dfrac{1}{3}(x+2)$ $y-5=\dfrac{1}{3}x+\dfrac{2}{3}$ $y=\dfrac{1}{3}x+\dfrac{2}{3}+5$ $y=\dfrac{1}{3}x+\dfrac{17}{3}$ $d)$ $m=0$ $y-5=(0)(x+2)$ $y-5=0$ $y=5$
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