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: 35


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 $1$ increase in $x$, $y$ decreases 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: $(0+1,-7-2)=(1,-9)$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.