Question

find the coordinates of the point which divides the line segemnt joining (-1,3) and (4,-7) internally in the ratio 3:4

step by step explanation required and brainliest will be given by me

Answer 1

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Answer 2

Question :

find the coordinates of the point which divides the line segment joining (-1,3) and (4,-7) internally in the ratio 3:4 ?

Method of Solution :

The End Point of AB are A(-1,3) and B ( 4 , - 7 )

•°• ( x1 = -1 , y1 = 3 ) and ( x2 = 4. y2 = -7 )

Given :- m : n = 3 : 4

Let Required Point be p ( x , y)

Using Section Formula

x = mx2 + nx1 / ( m + n ).

x = 3 ( 4) + 4 ( -1) / 3 + 4

x = 12 - 4 / 7

x = 8/7

Now, For Y :

y = my2 + ny1 / ( m + n ).

y = 3( -7 ) + 4 ( 3) / 3+4

y = -21 + 12 / 7

y = -9/7

Hence, Required Point is ( 8/7 , -9/7 ).