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: 15

Answer

Point one: $(1+1,7-3\times1)=(2,4)$. Point two: $(1+2,7-3\times2)=(3,1)$. Point three: $(1+3,7-3\times3)=(4,-2)$.

Work Step by Step

We will use the property that if $x$ increases by $\Delta x$ then $y$ increases by $m\Delta x$ where $m$ is the slope so if the graph contains a point $(6,2)$, then it also contains $(1+\Delta x, 7+m\Delta x)$. Since we need three points we can use $\Delta x=1,2,3$: Point one: $(1+1,7-3\times1)=(2,4)$. Point two: $(1+2,7-3\times2)=(3,1)$. Point three: $(1+3,7-3\times3)=(4,-2)$.
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