Question

Find the coordinates of point p which divides the line segment joining A(-2,5) and B(3,-5) in the ratio 2:3.

Answer 1

hope this answer will help you.

Answer 2

Answer:

$(0, 1)$

Step-by-step explanation:

Since, by the segment formula,

If a point divides a line segment joining $(x_1, y_1)$ and $(x_2, y_2)$ in the ratio of m : n,

Then the coordinates of the point are,

$(\frac{mx_2+nx_1}{m + n}, \frac{my_2+ny_1}{m + n})$

Here, point P divides the line segment joining A(-2,5) and B(3,-5) in the ratio 2:3.

i.e.,

$x_1=-2, y_1=5, x_2=3, y_2 =-5, m = 2, n = 3$

Hence, the coordinates of P are,

$(\frac{2(3)+3(-2)}{2 + 3}, \frac{2(-5)+3(5)}{2 + 3})$

$(\frac{6-6}{5}, \frac{-10+15}{5})$

$(0, 1)$