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: 35


(answers vary) Three additional points on the line: $(4, -7)$ $(6, -10)$ $(8, -13)$

Work Step by Step

RECALL: The slope $m$ is equal to $\dfrac{\text{rise}}{\text{run}}$, and can be interpreted as the average increase in $y$ for every one unit increase in $x$. A slope of $\dfrac{-3}{2}$ means that for every increase of 2 unit in the value of $x$, the value of $y$ decreases by $3$ units. Thus, to find other points on the same line as the point $(2, -4)$ just add $2$ to the value of $x$ and subtract $3$ from the value of $y$ to obtain: $(2+2, -4-3) = (4, -7)$ $(4+2, -7-3) = (6, -10)$ $(6+2, -10-3) = (8, -13)$ Plot the points and connect them using a line. (refer to the image below)
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