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: 43


Refer to the graph below.

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 $y-4= \frac{1}{2}[x-(-1)]$. Thus, the given line has a slope of $\dfrac{1}{2}$ and passes through the point $(-1, 4)$. The slope is $\dfrac{1}{2}$ so using the concept of the slope being rise over run, from the point $(-1, 4)$, go $1$ unit upward and $2$ unit to the right to obtain the point $(1, 5)$. Plot the two points then connect them using a straight line. Refer to the graph above.
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