Answer: The graph is attached.
Step-by-step explanation:
The Slope-Intercept form of the equation of the line is:
[tex]y=mx+b[/tex]
Where "m" is the slope of the line and "b" is the y-intercept.
When the line passes through the origin:
[tex]b=0[/tex]
Then:
[tex]y=mx[/tex]
The exercise gives you the following Inequality:
[tex]y\geq \frac{1}{2}x[/tex]
You can identify that line is:
[tex]y=\frac{1}{2}x[/tex]
As you can notice, the line passes through the origin and its slope is:
[tex]m=\frac{1}{2}[/tex]
The symbol [tex]\geq[/tex] indicates that the line is solid and the shaded region must be over the line.
Knowing the above, you can graph the Inequality (Observe the graph attached).
