equation of line whose slope is 3/2and which passes through p ,where p divide line segment joining A(-2,6) and B(3,-4) in ratio 2:3.
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Let Co-ordinates of P be(x,y).
x=(2*3+3*-2)/(2+3)
5x=6-6
x=0/5
x=0
y=(2*-4+3*6)/(2+3)
5y=-8+18
y =10/5
y=2
now eq.of the required line is:
(y-y1)=m(x-x1)
y-2=3x/2-0
2y-4=3x
2y=3x+4
x=(2*3+3*-2)/(2+3)
5x=6-6
x=0/5
x=0
y=(2*-4+3*6)/(2+3)
5y=-8+18
y =10/5
y=2
now eq.of the required line is:
(y-y1)=m(x-x1)
y-2=3x/2-0
2y-4=3x
2y=3x+4
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