The slope is basically the gradient of the line which is m in the equation y=mx+c
rearrange the equation given so it is in the form y=mx+c
4x - 2y = 5
(-5) (-5)
4x -5 -2y = 0
(+2y) (+2y)
2y = 4x - 5
(÷2) (÷2)
y = 2x - 2.5
so here m = 2
therefore the answer is E