Question

find the co ordinates of point p if p divide the line segment joining the points A(-1,7) B(4,-3) in the ratio 2:3​

Answer 1

Answer:

Let the coordinates of point P be (x, y).

The ratio in which P divides A(-1,7) and B(4,-3) is 2 : 3.

Using the section formula we have

x=

2+3

4×2+3×(−1)

=

5

8−3

=1

y=

2+3

2×(−3)+3×7

=

5

−6+21

=3

Thus, the coordinates of point P are