Which equation represents a line parallel to the graph of2x − 4y = 16?(1) y=1/2x - 5 (2) y=-1/2x + 4 (3) y= -2x + 6 (4) y= 2x + 8

 The equation to a line parrallel to any other line will
have the same slope as that line

ie all parallel lines will
have the same slopes

your equation is 2x -4y
=16

rearranging the terms, we have -4y = -2x +
16

dividing the equation by -4 to make the coefficient of y
as 1 we have

y= -2/-4 x +
16/-4

ie y=1/2 x - 4 

 Note
that the  slope of the line y = mx + c is m

so the slope of
the given line  is 1/2

from the given options there is only
one line with slope 1/2 which if option
1