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: 34


Three additional points on the line can be: $(0,6)$ $(3,10)$ $(6,14)$

Work Step by Step

If we interpret the slope, we can say that if $m=\frac{4}{3}$, then for every $3$ unitincrease in $x$, $y$ increases by $4$. Using that, we can calculate more points on the line. The starting point is given $(-3,2)$, after that, we have to add the aforementioned changes to the x and y-coordinates. Next point can be: $(-3+3,2+4)=(0,6)$ Now, starting with $(0,6)$ we add the changes again: $(0+3,6+4)=(3,10)$ Now, starting with $(6,-10)$ we add the changes again: $(3+3,10+4)=(6,14)$
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.