The given slope is -1/2.
The given point is (4,6).
We have to use the point-slope formula to find the equation.
[tex]y-y_1=m(x-x_1)[/tex]Replacing the given information, we have.
[tex]\begin{gathered} y-6=-\frac{1}{2}(x-4) \\ y-6=-\frac{1}{2}x+\frac{4}{2} \\ y-6=-\frac{1}{2}x+2 \\ y=-\frac{1}{2}x+2+6 \\ y=-\frac{1}{2}x+8 \end{gathered}[/tex]Therefore, the equation is
[tex]y=-\frac{1}{2}x+8[/tex]