Question

2. Line segment CD has endpoints (-3, 8) and

(1,-5). What are the coordinates of the point
that divides CD in the ratio of 3:7?

Answer 1

The coordinates of point which divides line CD in ratio 3 : 7 is x =
`(- 19)/(10)` And y =
`(41)/(10)`

Explanation:

Given as :

The line segment CD has endpoints as ,

C = ( -3 , 8) And D = ( 1, - 5 )

The line is divided in ratio m1 : m2 = 3 : 7

Let the coordinates of point which divides CD in ratio 3 : 7 = ( x , y )

∴ x =
`(m1 x2 + m2 x1)/(m1 + m2)`

Or, x =
`(3× 1 + 7× ( - 3))/(3 + 7)`

Or, x =
`(- 19)/(10)`

And y =
`(m1 y2 + m2 y1)/(m1 + m2)`

Or, y =
`(3× ( - 5) + 7× 8)/(3 + 7)`

Or, y =
`(41)/(10)`

Hence The coordinates of point which divides line CD in ratio 3 : 7 is x =
`(- 19)/(10)` And y =
`(41)/(10)` Answer