Answer: The graph is attached.
Explanation:
The Slope-Intercept form of the equation of the line is:
![y=mx+b](https://img.qammunity.org/2021/formulas/mathematics/middle-school/yj5waqmoy4i54laybzhhshd88hyo5w5rj5.png)
Where "m" is the slope of the line and "b" is the y-intercept.
When the line passes through the origin:
![b=0](https://img.qammunity.org/2021/formulas/mathematics/middle-school/b2s9bi8op1aoir7adzxqhhqdaudshwq70p.png)
Then:
![y=mx](https://img.qammunity.org/2021/formulas/mathematics/middle-school/20ryqgz1fsnhvirjzkjcfbb9x4ee8uzimj.png)
The exercise gives you the following Inequality:
![y\geq (1)/(2)x](https://img.qammunity.org/2021/formulas/mathematics/middle-school/4b26s3dj6ysowgw40beasdceos2xcsmszj.png)
You can identify that line is:
![y=(1)/(2)x](https://img.qammunity.org/2021/formulas/mathematics/college/zsptiza54bxefqejhfhgf9uh1xbqung7zn.png)
As you can notice, the line passes through the origin and its slope is:
![m=(1)/(2)](https://img.qammunity.org/2021/formulas/mathematics/college/ucw89inmlv3xv98exbt8pzfpuwz4d9umwf.png)
The symbol
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).