Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 4 - Cumulative Review - Page 333: 26

Answer

$$y =-5x-7$$

Work Step by Step

Recall the point-slope form of an equation: $$y - y_{1} = m(x - x_{1})$$ $m$ is the line’s slope and $(x_{1}, y_{1})$ is a fixed point on the line. Given: $m=-5$ point $(-2,3)$ Substituting this to the point-slope form: $$y - y_{1} = m(x - x_{1})$$ $$y - 3 = -5(x - (-2))$$ $$y - 3 = -5(x +2)$$ $$y - 3 = -5x -10$$ Add $3$ to both sides: $$y - 3+3 = -5x -10+3$$ $$y =-5x-7$$
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