Line segment AB¯¯¯¯¯¯¯¯ has endpoints A(−2,6) and B(4,−6). What are the coordinates of the point that partitions BA¯¯¯¯¯¯¯¯ according to the part-to-part ratio 2:4? Enter your answer as an ordered pair, formatted like this: (42, 53)

(2, -2) are the coordinates of the point which divides BA into ration 2:4.

Step-by-step explanation:

The given two co-ordinates of A are (-2, 6) and B is (4, -6).

Let P be the point that divides the line BA into ratio 2:4.

to find coordinates of a point P on the line segment BA dividing it in a ratio 2:4, we can use segment formula.

Where (x,y) is the co-ordinate of the point P which  

divides the line segment joining the points in the ratio m:n.

Please refer to the attached image.

As per the given values :

Putting the given values in above formula :

x-co-ordinate of P:

y-co-ordinate of P :

So, answer is P(2, -2).

step-by-step explanation:

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