Find the value of K if the line joining (4,K) and (6,8) and the line joining (-1,4) and (0,8) are Parallel.?

Question

Find the value of K if the line joining (4,K) and (6,8) and the line joining (-1,4) and (0,8) are Parallel. Then find Perpendicular.

Please explain, Thanks a bunch = )

Answer 1

m1 = (8 - K)/(6-4)

     = (8 - K)/2

m2 = (8-4)/(0+1)

     = 4/1

     = 4

m1 = m2 (parallel)

   (8-K)/2 = 4

    8 - K = 8

    K = 0

m1*m2 = -1(perpendicular)

(8-K)/2 * 4 = -1

(8-K)/2 = -1/4

4(8-K) = -2

32 - 4K = -2

34 = 4K

K = 34/4