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 3 - Graphing Linear Functions - 3.4 - Graphing Linear Equations in Standard Form - Monitoring Progress - Page 131: 3

Answer

The graph is shown below.

Work Step by Step

The given linear equation is $\Rightarrow 2x-y=4$ $x$ intercept. Substitute $0$ for $y$. $\Rightarrow 2x-0=4$ Simplify. $\Rightarrow 2x=4$ Divide each side by $2$. $\Rightarrow \frac{2x}{2}=\frac{4}{2}$ Simplify. $\Rightarrow x=2$ The $x-$ intercept is $2$, so plot the point $A=(2,0)$ $y$ intercept. Substitute $0$ for $x$. $\Rightarrow 2(0)-y=4$ Simplify. $\Rightarrow 0-y=4$ $\Rightarrow -y=4$ Multiply each side by $-1$. $\Rightarrow -1(-y)=-1(4)$ Simplify. $\Rightarrow y=-4$ The $y-$ intercept is $-4$, so plot the point $B=(0,-4)$ Draw a line through the points $A$ and $B$.
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.