# Parallel lines

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

Parallel lines have the same gradient. So write this line in $y = mx + c$ 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 $y$ intercept three units higher, and one will have a $y$ intercept three units lower.