There are two points P and Q. P=(16,9) and Q=(22,24). There is a point N on the line. Find N.

Question

 There are two points P and Q. P=(16,9) and Q=(22,24). There is a point N on the line such that PN equals to 2NQ. Find the coordinates of N.

Answer 1

Since PN = 2NQ, N lies 2/3 of the way from P to Q

 

As we move along PQ from P to Q, x increases by 6 and y increases by 15.

 

So, x-coordinate of N = 16 + (2/3)(6) = 20

 

      y-coordinate of N = 9 + (2/3)(15) = 19

 

N = (20, 19)