Algebra 2 Common Core

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

Chapter 2 - Functions, Equations, and Graphs - Mid-Chapter Quiz - Page 89: 24

Answer

graph of $4y-x=16$:
1557973405

Work Step by Step

The $x$-intercept is the value of $x$ when $y$ is $0.$ Setting $y=0$ in the given equation, $ 4y-x=16 ,$ results to \begin{align*} 4(0)-x&=16 \\ 0-x&=16 \\ -x&=16 \\ -1(-x)&=(16)(-1) \\ x&=-16 .\end{align*} The $x$-intercept is $( -16,0 )$. The $y$-intercept is the value of $y$ when $x$ is $0.$ Setting $x=0$ in the given equation results to \begin{align*} 4y-0&=16 \\ 4y&=16 \\\\ \dfrac{4y}{4}&=\dfrac{16}{4} \\\\ y&=4 .\end{align*} The $y$-intercept is $( 0,4 )$. Connecting the two intercepts above gives the graph of the given equation.
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.