[tex]slope : \ m=\frac{1}{2} ;\ \ (-\frac{1}{2} ,\frac{8}{3} )\\\\ the \ slope \ intercept \ form \ is : \\ \\ y= mx +b \\ \\\frac{8}{3}=\frac{1}{2}\cdot (-\frac{1}{2})+b[/tex]
[tex]\frac{8}{3}=-\frac{1}{4} +b\\ \\b=\frac{8}{3}+\frac{1}{4}=\frac{32}{12}+\frac{3}{12}=\frac{35}{12}\\\\y=\frac{1}{2}x +\frac{35}{12}[/tex]
