Question

Find the coordinates of point P along the directed line segment AB so that

AP to PB is in the ratio 3 to 7] Round your answer to the nearest tenth.
B(4, 5)
A(-2, 1)
-4
-2
Ay
61
-4-
Coordinates: P
N.
2
4 x
(1+x)
2-3
x) = 8 bris E= SVIÐ
V/22

Answer 1

P(-0.2, 2.2)

Explanation:

You want the coordinates of point P that divides AB into segments with the ratio AP/PB = 3/7. The end points are A(-2, 1) and B(4, 5).

Dividing point

The point that divides AB in the ratio m/n is ...

P = (mB +nA)/(m+n)

P = (3(4, 5) +7(-2, 1))/(3+7) = (12 -14, 15 +7)/10

P = (-0.2, 2.2)