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

Published by Pearson

Chapter 3 - Introduction to Graphing - Test: Chapter 3 - Page 227: 11

Answer

Refer to the graph below.

Work Step by Step

RECALL: The slope-intercept form of a line's equation is $y=mx+b$ where $m$=slope and $(0, b)$ is the line's y-intercept. Thus, the given equation has a slope of $\frac{3}{4}$ and a y-intercept of $(0, 0)$. To graph the given equation, perform the following steps: (1) Plot the y-intercept $(0, 0)$. (2) Use the slope to plot a second point. From $(0, 0)$, move 3 units up (the rise) and 4 units to the right (the run) to reach $(4, 3)$. Plot $(4, 3)$. (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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