Question 623546
Any line parallel to {{{ 3x + 2y = 6 }}} will have 
the same slope
Put the equation into slope-intercept form
 {{{ 3x + 2y = 6 }}} 
subtract {{{ 3x }}} from both sides
{{{ 2y = -3x + 6 }}}
Divide both sides by {{{2}}}
{{{ y = -(3/2)*x + 3 }}}
A parallel line has slope = {{{ -(3/2) }}}