✔ 最佳答案
slope of line jointing (7,9) and (k,3) :
(9-3)/(7-k) = 6/(7-k)
it should = -(3/4) since it is perpendicular to a line with slope 4/3, the product of their slopes must = -1.
therefore : 6/(7-k) = -(3/4)
-24 = (3)(7-k)
-24 = 21 - 3k
3k = 21 + 24
3k = 45
k = 15
checking :
(9-3)/(7-15) = 6/(-8) = -3/4
(-3/4)(4/3) = -1