Point Q is on MN such that MQ:QN = 2:3. If M has coordinates (3, 5) and N has coordinates (8, -5), the coordinates of Q are

Answer 1

(5,1)

2:3 means 2/5 of the way from M to N 2/(2+3) = 2/5

2/5 of x difference of 5 is 2 (2/5)x5 =2

the x difference between M and N is 8-3=5

2/5 of y difference is 2/5 of 10 is 2/5 x -10 = -4

the y difference is -5-5=-10

M is (3,5) add 2 to 3 and subtract 4 from 5 to get Q=(5, 1)