Answer
See below:
Work Step by Step
Vertical Line Test: The graph does not define a function, if any vertical line intersects the graph more than one point.
Consider the provided equation:
\[2x+y=4\]……..(1)
For\[x\text{-intercept}\], substitute \[y=0\] in equation (1).
That is.,
\[\begin{align}
& 2x+0=4 \\
& 2x=4 \\
& x=\frac{4}{2} \\
& x=2
\end{align}\]
Therefore, the line passes through\[\left( 2,0 \right)\].
And,
For\[y\text{-intercept}\], substitute \[x=0\] in equation (1).
That is.,
\[\begin{align}
& 2\left( 0 \right)+y=4 \\
& y=4
\end{align}\]
Therefore, the line passes through\[\left( 0,4 \right)\].
Now, plot the points \[\left( 2,0 \right)\]and\[\left( 0,4 \right)\]and join the line.
The resulting graph is shown above.
