Question

What are the coordinates of the point

3
of the way from A to B?
у
4
B
2
1
+2
lo
-21
А

Answer 1

9514 1404 393

Answer:

(-3 1/2, 1 1/4)

Explanation:

For some point P, we want ...

(P -A)/(B -A) = 3/4

4P -4A = 3B -3A

4P = 3B +A

P = (3B +A)/4 = (3(-3, 3) +(-5, -4))/4 = (-9-5, 9-4)/4 = (-14, 5)/4

P = (-7/2, 5/4) = (-3 1/2, 1 1/4) . . . . the desired point