Question

If point T divides the segment AB with A(- 7, 4) and B(- 6, - 5) in the ratio 7ः2, find the co-ordinates of T.

Answer 1

Answer:

here it is

Step-by-step explanation:

Answer 2

The coordinates of point T are

$T(x,y) = (\dfrac{-56}{9}, -3)$

Step-by-step explanation:

We are given the following in the question:

Point T divides the segment AB with A(- 7, 4) and B(- 6, - 5) in the ratio 7:2.

We have to find the coordinates of point T.

By section formula:

$\text{If (x,y) divides the line segment AB in the ration m:n}\\\\(x,y) = (\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n})$

Putting the values, we get,

$T(x,y) = (\dfrac{7(-6) + 2(-7)}{7+2}, \dfrac{7(-5) + 2(4)}{7+2})\\\\T(x,y) = (\dfrac{-56}{9}, -3)$

These are the required coordinates of point T.

#LearnMore

Find the co-ordinate of the point which divides the line segment joining points 6, 3 and - 4, 5 in the ratio 3 is to 7

https://brainly.in/question/13133091