so the slope of the other line that is perpendicular is negative and reciprocated. so when the line passes through the origin that means it is direct variation. direct variation equation y=kx which means the y-intercept or b is 0. the formula is y=mx+b m= slope. x,y are coordinates b is the y-intercept. so first reform the given equation to the formula i gave to get the slope. so 2y=-x+8 y=-1/2x+8 -1/2=m=slope. negative, reciprocal. 2=m=slope of the perpendicular line. so the ans is y=2x