Answer
x-4y=8
Work Step by Step
In order to write the equation in standard form, we must get y and x on the same side of the equation:
$-1/4x +y=-2$
x, however, is being multiplied by 1/4. Because we want this equation to be in standard form using integers, we multiply both sides of the equation by 4 to obtain:
$-x+4y=-8$ (This is the same as $x-4y=8$).