Given:
The equations in the options all represents the same line.
To find:
The standard form of the line, where A, B, C are integers with greatest common factor of 1 and A ≥ 0.
Solution:
The standard form of a line is
[tex]Ax+By=C[/tex]
where, A, B, C are integers with greatest common factor of 1 and A ≥ 0.
In option A,
[tex]3x-5y=2[/tex]
Here, variable terms are on one side, A, B, C are integers with greatest common factor of 1 and A ≥ 0. So, option A is correct.
In option B, variable terms are not on the one side. So, option B is incorrect.
In options C and D, the values of A, B and C all are not integers. So, options C and D are incorrect.
Therefore, the correct option is A.
