Question 1108589
Do not know unless you know also a point of one of the lines.


{{{y=(2/3)x+b}}}, the given line


The line wanted, parallel to given line,  {{{y=(2/3)x+d}}}.




A perpendicular line to the given?
{{{y=-(3/2)x+v}}}



More specific results if you are given some particular point for one of the lines.