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: 32

Answer

Three additional points on the graph can be: $(-1,5)$ $(0,7)$ $(1,9)$

Work Step by Step

If we interpret the slope, we can say that if $m=2$, then for every $1$ unit increase in $x$, $y$ increases by $2$ units. Using that, we can calculate more points on the line. The starting point is given $(-2,3)$, after that, we have to add the aforementioned changes to the x and y-coordinates. Next point can be: $(-2+1,3+2)=(-1,5)$ Now, starting with $(-1,5)$ we add the changes again: $(-1+1,5+2)=(0,7)$ Now, starting with $(0,7)$ we add the changes again: $(0+1,7+2)=(1,9)$
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