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 - Chapter Review Exercises - Page 121: 24

Answer

Refer to the graph below.
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Work Step by Step

Recall: (1) The slope $(m)$ of a line is the average change in $y$ for every unit of change in $x$, and can be interpreted as the rise (change in $y$) over run (change in $x$). (2) The line $y=m x+b$ has a slope of $m$ and a $y$-intercept of $(0, b)$. Thus, $y=-\frac{2}{7}x+4$ has a slope of $\dfrac{-2}{7}$ and has $(0, 4)$ as its $y$-intercept. From $(0, 4)$, use the concept of slope as rise over run by moving $2$ units down (the rise) and $7$ units to the right (the run) to obtain the point $(7, 2)$. Plot the points and then connect them using a straight line. Refer to the graph above.
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