Answer
No, it is not.
Work Step by Step
In order to see if something is a solution to an equation, we plug in the (x,y) point to see if the equality is correct. Thus, we plug (2,4) into y=-$\frac{1}{4}$x+6 to find:
4=-$\frac{1}{4}$(2)+6
4=5$\frac{1}{2}$
4 does not equal 5$\frac{1}{2}$, so this is not a solution to the equation.