SOLUTION: I have to put this in general form. But I am totally confused. I have no idea where A,B, and C come from. Please help me! I would really appreciate it! General Form

SOLUTION: I have to put this in general form. But I am totally confused. I have no idea where A,B, and C come from. Please help me! I would really appreciate it! General Form - Ax+By+C=0

Question 209099This question is from textbook
: I have to put this in general form. But I am totally confused. I have no idea where A,B, and C come from. Please help me! I would really appreciate it!
General Form - Ax+By+C=0
Point (0,-2) Slope m=3 When I put this in general form from slope intercept form I got the right answer:
y=3x-2
minus y on each side
3x-y-2
However on the next one Point (2,-3) Slope m=-(1/2) I did the same thing and it was wrong please help.
y=-(1/2)x-2
-(1/2)x-y-2=0
I got the exact opposite of the right answer.
Why do you sometimes move everything over to the y as in the second problem but others times move it all over on the other side as in the first problem!? This question is from textbook

Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
in the general form ___ A, B, and C are capitalized because they are whole numbers

you may have to multiply by a constant to "get rid of" fractions

also, by convention, A is always positive __ you may have to multiply through by -1 to accomplish this
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