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: 23


See the graph below.

Work Step by Step

If we interpret the slope, we can say that if $m=3$, then for every $1$ unit of change in $x$ (also known as the run), $y$ changes by $3$ (also known as the rise). Using this information, we can easilty get the coordinates of a second point. plot the points, then complete the graph by connecting the two points using a straight line. The starting point is given $(1,2)$, after that, we have to add the aforementioned changes to the $x$ and $y$-coordinates. Next point can be: $(1+1,2+3)=(2,5)$ By sketching these two points on the graph, we can connect them to form the line given in the exercise.
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