Find the coordinates of point p along the directed line segment ab so that ap to pb is the given ratio. a(-4,-8), b(0,0) ; 3 to 1

The coordinate of point P along the directed line segment AB is ( - 1 , - 2 )

Step-by-step explanation:

Given as :

The coordinate of the points A = ( - 4 , - 8 )

The coordinate of the points B = ( 0 , 0 )

The Point P divide the line joining points A and B in the ratio m : n = 3 : 1

Let The coordinates of the points P = ( x , y )

So, x =

And y =

∴  x =  

Or, x =

Or, x =

∴   x = - 1

Similarly

    y =  

Or, y =

Or, y =

∴   y = - 2

so, coordinate of P ( x , y ) = ( - 1 , - 2 )

Hence The coordinate of point P along the directed line segment AB is     ( - 1 , - 2 )  Answer

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