Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 5 - Linear Functions - 5-4 Point-Slope Form - Practice and Problem-Solving Exercises: 17

Answer

$y-1=-3/4(x-1)$

Work Step by Step

To find the slope, we consider the rise over the run between the two points. We see that the equation goes down 3 and over 4, so we know that the slope is =-3/4. Now, we can choose any point on the line for $(x_{1} , y_{1})$. (We will choose (1,1)). Recall, the equation for point slope form is the following: $y- y_{1}=m(x - x_{1})$, where $(x_{1} , y_{1})$ is a point on the line and m is the slope of the line. Thus, we plug 1 in for $x_{1}$, 1 in for $y_{1}$, and -3/4 in for m to obtain the answer: $y-1=-3/4(x-1)$
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