The joining straight line of the points(3,4)and (2,-1) is perpendicular on the points (k,o) and (2,3k) then find out the value of k.

slope between the points (2,4) and 2,-1)

= (-1-4)/(3-2)
=-5 / 1
so the other line must have slope 1/5

(3k-0)/(2-k) = 1/5
15k = 2-k
16k = 2
k = 1/8