Question

Find the coordinates of the point 7/10
of the way from A to B.

A (-3,-6)
B(12,5)

Answer 1

9514 1404 393

Answer:

  (7.5, 1.7)

Step-by-step explanation:

The point of interest (P) is the weighted average of the end points. The weights are the reverse of the lengths of the associated segments.

  P = (3A +7B)/10

  P = (3(-3, -6) +7(12, 5))/10 = (-9+84, -18 +35)/10 = (75, 17)/10

  P = (7.5, 1.7)