Find the equation of the line mid way between the parallel lines `9x+6y-7=0\ a n d\ 3x+2y+6=0.`

Explanation

The equations of the lines are
`3x+2y−7/3=0 ` ...........(1)


`3x+2y+6=0 ` ........(2)

Let the equation of the line mid-way between the parallel lines 1 and 2 be

3x+2y+lambda=0 ....(3)

Then,
Distance between the lines 1 and 3 = Distance between the lines 2 and 3

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