Line l is perpendicular to the line with equation x + 2y = 8 and passes through the origin. determine the equation of line l.

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