Find the coordinates of point b that lies along the directed line segment from a(-5, 2) to c(11, 0) and partitions the segment in the ratio of 5: 3.
a. (3, 1)
b. (5,3/4)
c. (10, 5)
d. (6, 2)

ANSWER

The correct answer is B.

EXPLANATION

If the point B(x,y) partitions

and

in the ratio m:n then, then we have

and

We want to find the coordinates of the point B(x,y) that lies along the directed line segment from A(-5, 2) to C(11, 0) and partitions the segment in the ratio of 5:3.

This implies that:

Therefore the coordinates of B are

50

step-by-step explanation: