Parallel line shave the same slope. The slope of the line ax + by + c = 0 is −
a
b
∴ Slope of the given equation is −
2
3
A line parallel to this line is of the form 2x + 3y + k = 0 Since it passes through (1 , - 1) We have 2 × 1 + 3 ( - 1) + k = 0 2 - 3 + k = 0 k = 1 ∴ The required equation is 2x + 3y + 1 = 0