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Given that the straight lines kx5y+6=0 and \(mx +...

Given that the straight lines kx5y+6=0 and mx+ny1=0 are parallel, find a relationship connecting the constants m, n and k.

A.

5n - km = 0

B.

kn + 5m = 0

C.

5n + km = 0

D.

kn - 5m = 0

Correct answer is B

Two lines are parallel if and only if their slopes are equal.

kx5y+6=05y=kx+6

y=k5x+65

Slope=k5

mx+ny1=0ny=1mx

y=1nmnx

Slope=mn

Parallelk5=mn

5m=kn5m+kn=0