Question

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

Answer 1

Given : the point which divides the line segment joining (- 1, 3) and (4, -7) internally in the ratio 3 : 4.

 

Solution :  

Let the line segment A(- 1, 3)and B(4, -7) is divided at point P in the ratio 3 : 4.

By  using section formula :  

P(x,y) = [ (m1x2 + m2x1)/m1 + m2 , (m1y2 + m2y1)/m1 + m2]

Here (x1, y1) = (- 1, 3) and (x2, y2) = (4, -7)

P (x,y)  = (3 × 4 + 4 × -1)/(3 + 4)  ; (3 × -7 + 4 × 3)/(3 + 4)

P (x,y)  = [12 - 4]/7 ; [-21 +12]/7

P (x,y)  = 8/7 ; -9/7

Hence, the coordinates of the point  is  P (8/7 , -9/7) .

HOPE THIS ANSWER WILL HELP YOU……

 

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Answer 2

Answer:

The coordinates of the point  is  P (8/7 , -9/7)

Step-by-step explanation:

Let the line segment A(- 1, 3)and B(4, -7) is divided at point P in the ratio 3 : 4.

By  using section formula :  

P(x,y) = [ (m1x2 + m2x1)/m1 + m2 , (m1y2 + m2y1)/m1 + m2]

Here (x1, y1) = (- 1, 3) and (x2, y2) = (4, -7)

P (x,y)  = (3 × 4 + 4 × -1)/(3 + 4)  ; (3 × -7 + 4 × 3)/(3 + 4)

P (x,y)  = [12 - 4]/7 ; [-21 +12]/7

P (x,y)  = 8/7 ; -9/7

Hence, the coordinates of the point  is  P (8/7 , -9/7) .