Solve the given inequality graphically in a two-dimensional plane: $y+8 \geq 2x$

The graphical representation of the line $y+8=2x$ is shown in the figure.
This line divides the $xy$-plane into two half-planes.
To determine the solution region,we select a test point not on the line. Let us choose the point $(0,0)$.
Substituting $(0,0)$ into the inequality $y+8 \geq 2x$:
$0+8 \geq 2(0)$
$8 \geq 0$
Since $8 \geq 0$ is a true statement,the solution region is the half-plane that contains the point $(0,0)$.
Because the inequality is $\geq$,the line $y+8=2x$ is included in the solution region. The shaded area in the figure represents the solution set.