Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 1 - Linear Functions - 1.4 Intercepts and Graphing - 1.4 Exercises - Page 63: 44

Answer

Refer to the graph below.
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Work Step by Step

Recall: The line $y-y_1=m(x-x_1)$ has a slope of $m$ and passes through the point $(x_1, y_1)$. The given equation is equivalent to $y-(-7)= \frac{2}{3}(x-9)$. Thus, the given line has a slope of $\dfrac{2}{3}$ and passes through the point $(9, -7)$. The slope is $\dfrac{2}{3}$ so using the concept of the slope being rise over run, from the point $(9, -7)$, go $2$ units upward and $3$ unit to the right to obtain the point $(12, -5)$. Plot the two points and then connect them using a straight line. Refer to the graph above.
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