Question

Point P lines on line MN and is 3/4 of the way from M to N.

What are the coordinate of point P? M is at (-3,7) and N is at (9, 15). Find point P.

Answer 1

The points of P is (
`(15)/(7)` ,
`(43)/(7)` )

Explanation:

Given as :

The coordinate of point M ( - 3 , 7 )

The coordinate of point N ( 9 , 15 )

Since point P lies on line MN , and it divide the line in ratio ( m : n ) = 3:4

So, Let The point of P ( x , y )

∴ x =
`(m* x_2+n* x_1)/(m+n)`

Or, x =
`(3* 9+4* -3)/(3+4)`

Or, x =
`(15)/(7)`

And y =
`(m* y_2+n* y_1)/(m+n)`

Or, y =
`(3* 15+4* 7)/(3+4)`

Or, y =
`(43)/(7)`

Hence The points of P is (
`(15)/(7)` ,
`(43)/(7)` ) Answer