To find out if it's a linear equation, you would solve it so that it becomes the
y=mx+b formula.
So, you would subtract 2x from both side than divide it by 4.
It would then look like y=-1/2x+4. This shows that since 2x+4y=16 can be put into the y=mx+b formula, it is a linear equation.
So, the answer is yes.