Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 1 - Linear Functions - 1.1 Slopes and Equations of Lines - 1.1 Exercises - Page 13: 15


$y=-2x + 5$

Work Step by Step

RECALL: The slope-intercept form of a line's equation is $y=mx+b$ where $m$ = slope and $b$ = y-intercept. With $m=-2$, the tentative equation of the line is $y=-mx+b$. To find the value of $b$, substitute the x and y coordinates of the given point to have: $y = -2x + b \\3=-2(1)+b \\3=-2+ b \\3+2=b \\5=b$ Thus, the equation of the line in slope-intercept form is $y=-2x + 5$.
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