the equation of line which intersects the x-axis & y-axis in (3,0)&(0,-2) respectively to
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in (3,0)
x=3 AND y=0
3+0=3
therefore here, x+y=3
multiplying both sides by -2 because the sum in point(0,-2) us -2.
we have,
-2(x+y)=-2*3
-2x-2y=-6 -----(1)
in (0,-2)
x=0 AND y=-2
0+(-2)=-2
therefore here, x+y=-2
multiplying both sides by 3 because the sum in point(3,0) us 3.
we have,
3(x+y)=3*-2
3x+3y=-6 -----(2)
since, RHS of (1) and (2) are equal
therefore, equating LHS of (1) and (2)
we have,
3x+3y=-2x-2y
3x+2x=-3y-2y
5x=-5y
5x/-5=y
-x=y
-x+y=0
there equation is -x+y=0
(Note : i am not sure about the answer so please once check it also before writing it)
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