Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 5 - Linear Functions - 5-4 Point-Slope Form - Lesson Check: 1

Answer

Point: $(-7,12)$ Slope: $\frac{4}{9}$

Work Step by Step

The point-slope form of an equation of a non-vertical line with slope $m$ through the point $(x_1,y_1)$ is $y-y_1=m(x-x_1)$. We use this definition to find the slope and a point on the graph of $y-12=\frac{4}{9}(x+7)$. First, we rewrite in point-slope form: $y-12=\frac{4}{9}(x-(-7))$ $12$ takes the place of $y_1$, so it is the $y$-coordinate of the point. $-8$ takes the place of $x_1$, so it is the $x$-coordinate of the point. $\frac{4}{9}$ takes the place of $m$, so it is the slope.
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