The left side of an equation of a line PARALLEL to a given line Ax+By=C has
the same left side Ax+By but a different number for C on the right.

The left side of an equation of a line PERPENDICULAR to a given line Ax+By=C
has the left side Bx-Ay but a different number for C on the right.

So a line perpendicular to 2x+3y=1 has left side 3x-2y. Let's say it's right
side is a number C.

Then we use the formula

Distance from the point (x1,y1)
to the line Ax+By+C=0 is

d = 











So there are two solutions:



The given line is:



Here is the first line  in red.
The green line to the origin is 7 units long:




Here is the second line , also in red.
The green line to the origin is also 7 units long:



Edwin

    There are two solutions (two straight lines)

        3x - 2y = +/- .