The point-slop form of the line equation is
[tex]y-b=m(x-a)[/tex]
In this case m=1/2, a=4 and b=-2.
[tex]\begin{gathered} y-(-2)=\frac{1}{2}(x-4) \\ y+2=\frac{1}{2}x-2 \\ y=\frac{1}{2}x-4 \end{gathered}[/tex]
You can also writ the equation in the next form
[tex]x-2y-4=0[/tex]
