Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 2 - Section 2.5 - The Point-Slope Form of the Equation of a Line - Exercise Set - Page 163: 11

Answer

$ y-0=\displaystyle \frac{1}{4}(x-0) \qquad$ ... point-slope form $ y=\displaystyle \frac{1}{4}x \qquad$ ... slope-intercept form $f(x)=\displaystyle \frac{1}{4}x$ $\qquad$ ... function notation

Work Step by Step

Given: $m=\displaystyle \frac{1}{4}, \; (x_{1},y_{1})=(0,0)$ Point-slope form: $y-y_{1}=m(x-x_{1})$ $ y-0=\displaystyle \frac{1}{4}(x-0) \qquad$ ... point-slope form ... Simplify to slope-intercept form, $ y=mx+b$ $ y=\displaystyle \frac{1}{4}x \qquad$ ... is the slope-intercept form For function notation, replace $y$ with $f(x)$.
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