We have the following equation:
![y=(1)/(2)x+4](https://img.qammunity.org/2023/formulas/mathematics/college/9ef2zu9gju67800k4nz84f49f543w4v69g.png)
And we have to determine the slope of the line.
1. To determine that we need to remember that we have here the equation of a line in slope-intercept form:
![y=mx+b](https://img.qammunity.org/2023/formulas/mathematics/high-school/smsb8cbft03lwblmi49nf2l6jby2ofxzws.png)
Where:
• m is the slope of the line
• b is the y-intercept of the line
2. Therefore, since we have:
![y=(1)/(2)x+4](https://img.qammunity.org/2023/formulas/mathematics/college/9ef2zu9gju67800k4nz84f49f543w4v69g.png)
Then the slope of the line is m = 1/2.
Therefore, in summary, we have that the slope of the line is:
![m=(1)/(2)](https://img.qammunity.org/2023/formulas/mathematics/college/63mpsjd7uhd9il1h5mgdlhza64l0oq6n0m.png)
[Second option.]