Question

7. Find the coordinates of the point which divides the line segment joining (-3, 5) and
(4, -9) in the ratio 1 : 6 internally.

Answer 1

Hi ,

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Division of a segment internally:

The point which divides the line

joining A( x1 , y1 ) , B( x2 , y2 ) in the

ratio m : n internally is

( mx2 + nx1 / m + n , my2 + ny1/m+n )

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Let P( x , y ) the required point ,

Using the section formula

A( x1 , y1 ) = ( -3 , 5 )

B( x2 , y2 ) = ( 4 , -9 )

m : n = 1 : 6

x = ( 1 × 4 + 6 × -3 )/( 1 + 6 )

= ( 4 - 18 )/7

= -14/7

= -2

y = ( 1 × -9 + 6 × 5 )/( 1 + 6)

= ( - 9 + 30 )/7

= 21/7

= 3

P( x , y ) = ( -2 , 3 )

I hope this helps you.

: )