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 - Review Exercises - Page 173: 44

Answer

Slope $=\frac{2}{3}$ and $y-$intercept $=0$. The graph is shown below.

Work Step by Step

Rewrite the given equation of a line $\Rightarrow y=\frac{2}{3}x+0$ This is in the standard slope-intercept form. $\Rightarrow y=mx+c$, where, $m=$ slope and $c=$ $y-$intercept. From the equation we have Slope $m=\frac{2}{3}$ and $y-$intercept $c=0$. We have the first point at $y-$intercept $(0,0)$. We can write the slope as a fraction. $m=\frac{2}{3}=\frac{Rise}{Run}$ The second point is $2$ units up and $3$ units to the right of the first point. Hence, the second point is $(3,2)$. Now draw a straight line using both points.
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