SOLUTION: if the straight line with equation 12x-8y+24=0 and 4x+ky+16=0 are parallel, the value of k is: a, 2 b, 1 c, -2 d, -4 e, -8/3 this is multiple choice

Algebra ->  Test -> SOLUTION: if the straight line with equation 12x-8y+24=0 and 4x+ky+16=0 are parallel, the value of k is: a, 2 b, 1 c, -2 d, -4 e, -8/3 this is multiple choice      Log On


   



Question 856752: if the straight line with equation 12x-8y+24=0 and 4x+ky+16=0 are parallel, the value of k is:
a, 2
b, 1
c, -2
d, -4
e, -8/3
this is multiple choice

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Parallel lines have identical forms.
1.12x-8y%2B24=0
2.4x%2Bky%2B16=0
So to be parallel to get from eq. 1 to eq. 2 you need to divide by 3 since 12%2F4=3.
So then
-8%2F3=k
or
k=-8%2F3