Find the equation of straight lines which passes through the point (3,-2) and cuts off positive intercepts on the x-axis and y-axis, which are in the ratio 4:3.

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Please find below the solution to the asked query:

The line passing through 3,-2 will bey+2=mx-3put x=0,we get,y+2=-3my=-3m-2put y=0, we get2=mx-3m2+3m=mxx=3+2mnow givenxy=433+2m-3m-2=433m+2-m3m+2=43m=-34hence eqn of line will be:y+2=-34x-34y+8=-3x+94y+3x=1

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