Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 2 - Functions, Equations, and Graphs - 2-4 More About Linear Equations - Practice and Problem-Solving Exercises - Page 86: 14

Answer

$y-5=-(x+3)$

Work Step by Step

Recall: The equation of a line whose slope is $m$ and passes through the point $(x_1, y_1)$ is: $$y-y_1=m(x-x_1)$$ Thus, the equation of the line whose slope is $-1$ and passes through the point $(-3, 5)$ is: \begin{align*} y-5&=-1[x-(-3)]\\ y-5&=-(x+3) \end{align*}
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