Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 2 - Functions, Equations, and Graphs - Chapter Test - Page 127: 16

Answer

$x+2y=12$

Work Step by Step

Using $y-y_1=m(x-x_1)$ or the Point-Slope Form of linear equations, the equation of the line with the given conditions, \begin{align*}\require{cancel} y_1&= 6 ,\\x_1&= 0 ,\\m&= -0.5 ,\end{align*} is \begin{align*}\require{cancel} y-6=-0.5(x-0) \end{align*} In the form $Ax+By=C,$ the equation above is equivalent to \begin{align*} y-6&=-0.5x \\\\ y-6&=-\dfrac{1}{2}x \\\\ 2(y-6)&=\left( -\dfrac{1}{2}x \right)2 \\\\ 2y-12&=-x \\ x+2y&=12 \end{align*}
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.