Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter F - Foundations: A Prelude to Functions - Section F.3 Lines - F.3 Assess Your Understanding - Page 30: 33


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

Work Step by Step

If we interpret the slope, we can say that if $m=-\frac{3}{2}$, then for every $2$ units increase in $x$, $y$ decreases by $3$ units. Using that, we can calculate more points on the line. The starting point is given $(2,-4)$, after that, we have to add the aforementioned changes to the x and y-coordinates. Next point can be: $(2+2,-4-3)=(4,-7)$ Now, starting with $(4,-7)$ we add the changes again: $(4+2,-7-3)=(6,-10)$ Now, starting with $(6,-10)$ we add the changes again: $(6+2,-10-3)=(8,-13)$
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