Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 3 - Parallel and Perpendicular Lines - 3-7 Equations of Lines in the Coordinate Plane - Practice and Problem-Solving Exercises - Page 194: 26


$y + 6 = \frac{2}{3}(x + 2)$

Work Step by Step

We are given the point $(-2, -6)$ and the slope $m = \frac{2}{3}$. We can plug these values into the point-slope equation, which is given by the formula: $y - y_1 = m(x - x_1)$, where $m$ is the slope and $(x_1, y_1)$ is a point on the line. Let's plug in the points and slope into the formula: $y - (-6) = \frac{2}{3}(x - (-2))$ Let us simplify the signs: $y + 6 = \frac{2}{3}(x + 2)$ This is the equation of the line in point-slope form.
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