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Give the coordinates of the point that would divide AB into a ratio of 2:1. A(4,4) B(2,-5)

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Answer:

(10/3, 1)

Explanation:

Give the coordinates of the point that would divide AB into a ratio of 2:1. A(4,4) B(2,-5)

The formula for calculating the coordinate of a point divided in the ratio a:b is expressed as;

X = ax1+bx2/a+b

Y = ay1+by2/a+b

Given the coordinates A(4,4) B(2,-5) divided in the ratio 2:1

X = 2(4)+1(2)/2+1

X = 8+2/3

X = 10/3

Similarly;

Y = 2(4)+1(-5)/2+1

Y = 8-5/3

Y = 3/3

Y = 1

Hence the required coordinate is (10/3, 1)

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