UPSEE Solved Model Paper 6

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