Question

In Exercises 1 and 2, find the coordinates of point Q along the directed line segment LM so that LQ to QM is the given ratio. 1. L(-1, -2), M(3, 6); 5 to 3

Answer 1

Answer:

The coordinates of Q are (1.5,3)

Step-by-step explanation:

Here, we simply want to divide the line segment in the given ratio

We can use the internal division formula here;

The coordinates of Q will be;

(x,y) = (nx1 + mx2)/(n + m) , (ny1 + my2)/(n + m)

m = 5, n = 3

(x,y) = (3(-1) + 5(3))/(5 + 3) , (3(-2) + 5(6)/(5 + 3))

(x,y) = (-3 + 15)/8 , (-6 + 30)/8

(x,y) = 12/8, 24/8

(x,y) = (1.5,3)