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# Beauty of Coordinate geometry

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Re: Beauty of Coordinate geometry [#permalink]
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chavantusharr wrote:
I tried finding the slope of line AB by y2-y1/x2-x1 and then formed an equation which came out to be y=-1/2x+3/2 and then substitute x=4 and y=y in the above equation. Got -7/2 as the answer. Can anyone please shed what's wrong with my approach?

I think the line AB intersects the y-axis at (0,3) => y = (-1/2)x + 3
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Re: Beauty of Coordinate geometry [#permalink]
I just made a very silly mistake. Thankyou chesstitans
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Re: Beauty of Coordinate geometry [#permalink]
Line Intersection Method

(m*0+n*6)/(m+n)=4
Therefore n/m=2/1
So y=(0*2 + 3*1)/2+1=1
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Re: Beauty of Coordinate geometry [#permalink]
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Re: Beauty of Coordinate geometry [#permalink]
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