College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 2 - Section 2.3 - Lines - 2.3 Assess Your Understanding - Page 179: 91

Answer

slope: $\displaystyle \frac{3}{2}$, y-intercept: $0$.

Work Step by Step

If possible, write in the form $\quad y=mx+b$ $2y-3x=0$ $2y= 3x\qquad/\div 2$ $y=\displaystyle \frac{3}{2}x$ slope: $\displaystyle \frac{3}{2}$, y-intercept: $0$. Graphing when we know m and b: Write m as a fraction, positive denominator, $m=\displaystyle \frac{\pm u}{v}.$ Start from $(0,b)$. Move v units to the right, and u units up or down, depending on the sign. In this way you arrive at a second point, which is enough to define a line. $m=\displaystyle \frac{3}{2}$ $(0,0)\rightarrow(0+2,0+3)=(2,3)$
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