Line segments ab has endpoints a(9,3) and b(2,6). find the coordinates of the point that divides the line segment directed from a to b in the ratio of 1: 2.

The coordinates of the point that divides the line segment in the ratio of 1:2 is (x,y)  =  (20/3 , 4)

Step-by-step explanation:

The end point coordinates of the  segment AB is A(9,3) and B(2,6)

Let us assume the point P(x,y) divides the segment AB in the ratio 1: 2

⇒AP : PB  = 1: 2

Now, by SECTION FORMULA:

If The point (x,y) divides the line segment with points (x1,y1) and (x2,y2) in the ratio m1: m2, then the coordinates of (x,y) is given as:

Applying the section formula in the given cindition,

here m1 :m2   = 1 :2

we get,

Now, comparing each ordinate separately

⇒ The coordinates of P(x,y)  =  (20/3 , 4)

Hence, the coordinates of the point that divides the line segment in the ratio of 1:2 is (x,y)  =  (20/3 , 4)

5050

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step-by-step explanation:

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