Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 3 - Introduction to Graphing - 3.7 Point-Slope Form and Equations of Lines - 3.7 Exercise Set - Page 218: 19


Refer to the graph below.

Work Step by Step

RECALL: The point-slope form of a line's equation is given by $y-y_1=m(x-x_1)$ where $m$=slope and $(x_1, y_1)$ is a point on the line. The given equation can be written as: $y-(-4)=\frac{1}{2}[x-(-2)]$ Thus, $m=\frac{1}{2}$ $(-2, -4)$ is a point on the line. To graph this equation, perform the following steps: (1) Plot the point $(-2, -4)$. (2) Use the slope to plot another point on the line. From $(-2, -4)$ move 1 unit up (the rise) and 2 units to the right (the run) to reach $(0, -3)$. Plot $(0, -3)$. (3) Connect the two points using a line.
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