Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.10 - Lines - 1.10 Exercises - Page 114: 26

Answer

$y=-x+2$ or, in general form, $x+y-2=0$

Work Step by Step

Through $(-2,4);$ slope $-1$ Use the point-slope form of the equation of a line, which is $y-y_{1}=m(x-x_{1})$, where $(x_{1},y_{1})$ is a point through which the line passes and $m$ is the slope. Both the point and the slope are given, just substitute them into the formula and simplify to obtain the equation of this line: $y-y_{1}=m(x-x_{1})$ $y-4=-(x+2)$ $y-4=-x-2$ $y=-x-2+4$ $y=-x+2$ or, in general form, $x+y-2=0$
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