Respuesta :

Solution:

Given:

[tex]y=\frac{1}{2}x+4[/tex]

Using the equation of a line in slope-intercept form;

[tex]\begin{gathered} y=mx+b \\ where; \\ m\text{ is the slope} \\ b\text{ is the y-intercept} \end{gathered}[/tex]

Hence, comparing the given equation;

[tex]\begin{gathered} y=\frac{1}{2}x+4 \\ y=mx+b \\ m=\frac{1}{2} \\ b=4 \\ \\ Hence,\text{ the slope of the line is }\frac{1}{2} \end{gathered}[/tex]

Therefore, OPTION B is the correct answer.