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: 25

Answer

$y=5x-7$ or $-5x+y+7=0$

Work Step by Step

Through $(2,3);$ slope $5$ 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, so substitute these values into the formula and simplify to obtain the equation of the line: $y-y_{1}=m(x-x_{1})$ $y-3=5(x-2)$ $y-3=5x+10$ $y=5x+3-10$ $y=5x-7$ or, in general form, $-5x+y+7=0$
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