Find the coordinates of point P that lies on the line segment MQ, M (-9,-5), Q(3,5), and partitions the segment at a ratio of 2 to 5.
Thanks for the help :)
+129845 Find the coordinates of point P that lies on the line segment MQ, M (-9,-5), Q(3,5), and partitions the segment at a ratio of 2 to 5.
The coordinates of P are given by :
[ -9 + (2/7)*(3 - -9) , -5 + (2/7)*(5 - -5)] =
[-9 + (2/7)*(12) , -5 + (2/7)*(10)] =
[ -39/7, -15/7 ]
Proof :
distance from M to P =
sqrt [ (-9 + 39/7)^2 + (-15/7 +5)^2] = about 4.463
distance from P to Q =
sqrt [ ( -39/7- 3)^2 + ( -15/7 - 5)^2 ] = about 11.157
And
4.463 / 11.157 ≈ .400 ≈ 2 / 5 ≈ 2 : 5
