I need help with this question

Answer:
Step-by-step explanation:
The slope-intercept form is found by solving that equation for y.
If [tex]y-3=\frac{1}{2}(x-1)[/tex] then
[tex]y-3=\frac{1}{2}x-\frac{1}{2}[/tex] and
[tex]y=\frac{1}{2}x-\frac{1}{2}+3[/tex] and
[tex]y=\frac{1}{2}x-\frac{1}{2}+\frac{6}{2}[/tex] so
[tex]y=\frac{1}{2}x+\frac{5}{2}[/tex]
The answer you have chosen is the correct one! Good job!