Question

If the point C(-1,2) divides the line segment AB in the ratio 3 4 , where the coordinates of A are (2,5) find the coordinates of B

Answer 1

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A C B
(2,5) (-1,2)
Given: m1:m2=3:4
X=m1x2+m2x1÷m1+m2
X=3×x+4×2÷7
X=3x+8÷7
7x=3x+8
7x-3x=8
4x=8
X=2

Y=m1y2+m2y1÷m1+m1
Y=3×y+4×5÷7
Y=3y+20÷7
7y=3y+20
4y=20
Y=5
Co-oridnates of B=(2,5)