The line 2x-3y+2=0 is midway between 2 parallel lines 6 units apart. Find the equation of the two lines

Please help me and show the solution... Thanks!

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- Feb 19th 2010, 11:01 PMlanceParallel lines
The line 2x-3y+2=0 is midway between 2 parallel lines 6 units apart. Find the equation of the two lines

Please help me and show the solution... Thanks! - Feb 19th 2010, 11:41 PMProve It
Parallel lines have the same gradient. So write this line in $\displaystyle y = mx + c$ form to find its gradient and y-intercept.

Now since it lies halfway between two parallel lines that are 6 units apart, one will have a $\displaystyle y$ intercept three units higher, and one will have a $\displaystyle y$ intercept three units lower.