A straight line passes through the point m (- 3,4), and the sum of intercepts on the two coordinate axes is 12?

Let X / A + Y / b = 1,
-3/a+4/b=1,4a-3b=ab ,a+b=12 ,b=12-a,
4a-36+3a=a(12-a),a^2-5a-36=0,
a=9,b=3; a=-4,b=16
We get: X / 9 + Y / 3 = 1, or - X / 4 + Y / 16 = 1
That is: x + 3y-9 = 0, or 4x-y + 16 = 0

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