Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 4 - Writing Linear Functions - 4.2 - Writing Equations in Point-Slope Form - Exercises - Page 185: 15

Answer

$y=-2x+16$

Work Step by Step

Let $(x_{1},y_{1})=(7,2)$ and $(x_{2},y_{2})=(2,12)$ The slope of the line is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{12-2}{2-7}=\frac{10}{-5}=-2$ We can write the equation of a line using the value of slope $m=-2$ and the point $(7,2)$. $y-y_{1}=m(x-x_{1})$ $\implies y-2=-2(x-7)$ $\implies y=-2x+14+2$ $\implies y=-2x+16$
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