[tex](5, 6), \ slope : \ m=\frac{1}{2} \\ \\ x=5, \ y = 6 , \ m = \frac{1}{2} \\ \\the \ slope \ intercept \ form \ is : \\ \\ y= mx +b \\ \\ 6=\frac{1}{2}\cdot 5+b[/tex]
[tex]6=\frac{5}{2} +b \\ \\b=6-\frac{5}{2}=6-2\frac{1}{2}=3\frac{1}{2}\\ \\ y=\frac{1}{2}x + 3\frac{1}{2}[/tex]