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

a) x - 2y = 0
b) 2x - y = 0
c) 2x - y = -8
d) x - 2y = -8

X+2y=8

2y=-x+8

y=-x/2+4

So for L to be perpendicular to this its slope must be the negative reciprocal of y's slope...

-1m/2=-1, m=2

So L has a slope of 2

L=2x+b, since it passes through the origin its y-intercept is zero so

L=2x or back in y terms

y=2x, by convention you want to arrange this so x has a positive coefficient...

2x-y=0

So B, is the correct answer.

9/12 is the answer because 3/4 times 3 each is 9/12