Two lines are said to be parallel if the slope of the two lines are equal.
The equation : \(3y + 2x + 7 = 0\)
\(3y = -2x - 7\)
\(y = \frac{-2}{3} x - \frac{7}{3}\)
\(\frac{\mathrm d y}{\mathrm d x} = - \frac{2}{3}\)
All the options have the same slope except \(3y - 2x + 7 = 0\).