Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 1 - Graphs - 1.3 Lines - 1.3 Assess Your Understanding - Page 30: 40

Answer

$y=-0.5x$

Work Step by Step

The slope of the line can be found following the equation below: $m=\frac{y_2-y_1}{x_2-x_1}$ where x and y are the coordinates of the points on the line, here: $(0,0)$ and $(-2,1)$. $m=\frac{1-0}{-2-0}=\frac{1}{-2}=-0.5$ If we have the slope and a point on the graph (now, we can take $(0,0)$), we can use the point-slope formula to calculate the equation of the line: $y-y_1=m(x-x_1)$ which translates to $y-0=-0.5(x-0)$ The equation of the line is therefore: $y=-0.5x$
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