Question

Find the coordinates of P so that P partitions the segment AB in the ratio 1:1 if A(−4,15) and B(10,11).A. (3, 13)B. (11, -17)C. (-4, 14)D. (7, -2)

Answer 1

Solution

For this case we need to find two coordinates preserving the 1:1 ratio

A(−4,15) and B(10,11).

This means that the line needs to be divided in two equal segments

The midpoint is given by:

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})=(\frac{-4+10}{2},\frac{15+11}{2})=(3,13)$

Then the answer is:

A. (3,13)