Answer
See below:
Work Step by Step
Consider the provided condition,
The y-variable is at least 4 more than the product of $-2$ and the x-variable.
$y\ge -2x+4$
Now, replace the inequality sign with an equal sign.
$y=-2x+4$
Now, substitute $y=0$ for x-intercept.
$\begin{align}
& \left( 0 \right)=-2x+4 \\
& x=\frac{4}{2} \\
& =2
\end{align}$
The above substitution gives the coordinate as $\left( 2,0 \right)$.
Now, calculate the y intercept by substitute x as 0.
$\begin{align}
& y=-2\left( 0 \right)+4 \\
& =4
\end{align}$
The above substitution gives the coordinate as $\left( 0,4 \right)$.
Thus, the inequality equation in two variables is $y\ge -2x+4$ and it can be graphed as shown below:
