The first thing that we have to remember is the equation of a line in its slope-intercept form:
[tex]y=mx+b[/tex]where m is the slope and b is the y-intercept
then we apply this formula to the conditions that are given to us
[tex]m=\frac{1}{2},b=3[/tex]then the answer is:
[tex]B\colon y=\frac{1}{2}x+3[/tex]