Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 3 - Section 3.3 - Slope - Exercise Set - Page 242: 37

Answer

See image .

Work Step by Step

Slope of a line is the ratio that compares the change in y (the rise) to the change in x (the run) $m=\displaystyle \frac{\text{change in y}}{\text{change in x}}$ For each line we take (0,0) as an initial point, and then interpret the slope to find another point on the line. $ m=-1=\displaystyle \frac{-1}{1} \quad$ change x by 1, y by -1 $(0,0) \quad \rightarrow\quad(1,-1)$ $ m=\displaystyle \frac{-1}{2} \quad$ change x by $2$, y by $-1$ $(0,0) \quad \rightarrow\quad(2,-1)$ $ m=0=\displaystyle \frac{0}{1} \quad$ change x by 1, y by 0 $(0,0) \quad \rightarrow\quad(1,0)$ $ m=\displaystyle \frac{1}{3} \quad$ change x by $3$, y by $1$ $(0,0) \quad \rightarrow\quad(3,1)$ $ m=2=\displaystyle \frac{2}{1} \quad$ change x by $1$, y by $2$ $(0,0) \quad \rightarrow\quad(1,2)$
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