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: 36


Three additional points on the line can be: $(5,0)$ $(6,-1)$ $(7,-2)$

Work Step by Step

If we interpret the slope, we can say that if $m=-1$, then for every $1$ unit increase in $x$, $y$ decreases by $1$ unit. Using that, we can calculate more points on the line. The starting point is given $(4,1)$, after that, we have to add the aforementioned changes to the x and y-coordinates. Next point can be: $(4+1,1-1)=(5,0)$ Now, starting with $(5,0)$ we add the changes again: $(5+1,0-1)=(6,-1)$ Now, starting with $(6,-1)$ we add the changes again: $(6+1,-1-1)=(7,-2)$
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