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: 59


Refer to the graph below.

Work Step by Step

Recall: The line $y=m x+b$ has a slope of $m$ and a $y$-intercept of $(0, b)$. Thus, the given line has $\left(0, -6\right)$ as $y$-intercept. With a slope of $\dfrac{2}{15}$, use the concept of the slope being the rise over run by moving $2$ units up (the rise) and $15$ units to the right (the run) from the point $(0, -6)$ to obtain the point $(15, -4)$. Plot the two points then connect them using a straight line. Refer to the graph above.
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