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

Answer:

The coordinates of point which divides line CD in ratio 3 : 7 is                      x = $\frac{- 19}{10}$   And  y = $\frac{41}{10}$

Step-by-step 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 = $\frac{m1 x2 + m2 x1}{m1 + m2}$

Or,  x = $\frac{3× 1 + 7× ( - 3)}{3 + 7}$

Or,  x = $\frac{- 19}{10}$

And y = $\frac{m1 y2 + m2 y1}{m1 + m2}$

Or,   y =  $\frac{3× ( - 5) + 7× 8}{3 + 7}$

Or,   y = $\frac{41}{10}$

Hence The coordinates of point which divides line CD in ratio 3 : 7 is                x = $\frac{- 19}{10}$   And  y = $\frac{41}{10}$      Answer