Any two parallel lines always have the same slope.
The equation of the given line is in the point-slope form, `y - y_0 = m ( x - x_0 ).` Here `m` is the slope and it is equal to `3` as we see. Therefore, our new line must have the same slope.
And it is given that the line in question must go through the point `( 0, -3 ).` Now we have absolutely enough information to write its equation. In the point-slope form it will be
`y - ( -3 ) = 3 ( x - 0 ),` or the same may be written as `y + 3 = 3 x .`
The standard form of a linear equation is `A x + B y = C .` Here we have `-3 x + y = -3` (`A = -3,` `B = 1,` `C = -3` ).
All these equations state the same straight line.