Question 935342
an equation of the line that passing through point ({{{5}}},{{{ 0}}}); parallel to {{{3x -2y = 4}}}:

{{{3x -4 = 2y}}}

{{{y=(3/2)x -2 }}}


*[invoke equation_parallel_or_perpendicular "parallel", "3/2", 2, 5, 0] 


so, your line is the line {{{y=(3/2)x-15/2}}}

in the standard form {{{Ax +By= C}}}, {{{A >=0}}} is:

{{{y=(3/2)x-15/2}}}...both sides multiply by {{{2}}}

{{{2y=3x-15}}}

{{{15=3x-2y}}}

{{{3x-2y=15}}}