Point R divides in the ratio 1 : 3. If the x-coordinate of R is -1 and the x-coordinate of P is -3, what is the x-coordinate of Q?
A.

B.
3
C.
5
D.
6
E.
-9

PLEASE HELP

Question:

Point R divides in the ratio 1 : 3. If the x-coordinate of R is -1 and the x-coordinate of P is -3, what is the x-coordinate of Q?

x-coordinate of Q is 5

Solution:

Given that,

Point R divides in the ratio 1 : 3

Which means,

Point R divides the line segment PQ internally

The x-coordinate of the point which divides the line segment in ration m:n internally is given as:

Where,

= x-coordinate of point dividing the segment R = -1

= x-coordinate of P = -3

= x-coordinate of Q = ?

m : n = 1 : 3

m = 1

n = 3

Therefore,

Thus x-coordinate of Q is 5