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 - Review Exercises: Chapter 3: 8

Answer

false

Work Step by Step

RECALL: (1) The point-slope form of a line's equation is $y-y_1=m(x-x_1)$ where $m$ is the slope and $(x_1, y_1)$ is a point on the line. (2) 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. (3) The slope $m$ of a line is given by the formula $m=\dfrac{y_2-y_1}{x_2-x_1}$ where $(x_1, y_1)$ and $(x_2, y_2)$ are points on the line. Notice that both forms of a line's equation make use of : (1) the slope, which requires the use of two points on the line; and (2) a point on the line. Thus, knowing just the slope of the line is not enough to write the equation of a line. Therefore, the given statement is false.
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