Answer
graph of $2y=4x+8$:
Work Step by Step
The $x$-intercept is the value of $x$ when $y$ is $0.$ Setting $y=0$ in the given equation, $
2y=4x+8
,$ results to
\begin{align*}
2(0)&=4x+8
\\
0&=4x+8
\\
0-8&=4x+8-8
\\
-8&=4x
\\\\
-\dfrac{8}{4}&=\dfrac{4x}{4}
\\\\
-2&=x
.\end{align*}
The $x$-intercept is $(
-2,0
)$.
The $y$-intercept is the value of $y$ when $x$ is $0.$ Setting $x=0$ in the given equation results to
\begin{align*}
2y&=4(0)+8
\\
2y&=0+8
\\
2y&=8
\\\\
\dfrac{2y}{2}&=\dfrac{8}{2}
\\\\
y&=4
.\end{align*}
The $y$-intercept is $(
0,4
)$.
Connecting the two intercepts above gives the graph of the given equation.
