Question 944857
First get the equation into the slope-intercept 
form which looks like:
{{{ y = m*x + b }}} where
{{{ m }}} = slope
{{{ b }}} = y-intercept
---------------------
{{{ 6x + 13y = 12 }}}
{{{ 13y = -6x + 12 }}}
{{{ y = -(6/13)*x + 12/13 }}}
---------------------------
Any straight line parallel to this straight line
will have slope = {{{ -6/13 }}}
---------------------------
Use the general point-slope formula
(0,7)
{{{ ( y - 7 ) / ( x - 0 ) = -6/13 }}}
{{{ y - 7 = -(6/13)*x }}}
{{{ 13y - 91 = -6x }}}
{{{ 13y = -6x + 91 }}}
{{{ y = -(6/13)*x + 7 }}}
-----------------------
check:
Does it go through (0.7) ?
{{{ 7 = 0 + 7 }}}
OK