Transcript What positive value of k would make the lines below parallel in the standard ( x, y) coordinate plane? kx + 2y.

What positive value of k would make the lines below parallel in the
standard ( x, y) coordinate plane?
kx + 2y = 8
18x + ky = 12
F.
0
G.
2
H.
6
J.
8
K.
12
The correct answer is H.
Explanation:
Parallel lines have equal slopes; kx  2 y  8,
so, 2 y  -kx  8, y 
-k
x  4.
2
 18
12
18 x  ky  12, so ky  18 x  12, y 
x  . The slopes must be equal, so
k
k
-k  18

,k  36, k  6. A positive value is required, so k  6.
2
k
2