Question 133623
Given: {{{ 5y=2x+4+3y+2x+6 }}}
The slope intercept form of a line is given as {{{y = mx + b}}}

The first thing you need to do is collect like terms
{{{ 5y=2x+4+3y+2x+6 }}}
{{{ 5y - 3y = 2x + 2x + 10 }}}
{{{ 2y = 4x + 10 }}}
Nox divide both side by 2
{{{ y = 2x + 5 }}}

Which is in the form y = mx + b

{{{graph (600, 400, -10, 10, -10, 10,  2x + 5) }}}