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 - Test: Chapter 3 - Page 227: 14


Refer to the graph below.

Work Step by Step

RECALL: The point-slope form of a line's equation is $y-y_1=m(x-x_1)$ where $m$=slope and $(x_1, y_1)$ is a point on the line. The given equation can be written as: $y-(-4)=-\frac{1}{2}(x-3)$ Thus, the line has $m=-\frac{1}{2}$ and contains the point $(3, -4)$. To graph the given equation, perform the following steps: (1) Plot the point $(3, -4)$. (2) Use the slope to plot a second point. From $(3, -4)$, move 1 unit down (the rise) and 2 units to the right (the run) to reach $(5, -5)$. Plot $(5, -5)$. (3) Connect the two points using a line to complete the graph. (Refer to the graph in the answer part above.)
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