Question 736051
The standard form is 
{{{ A*x + B*y = C }}}
You are given:
{{{ y = 3x + 2 }}} ( this is the slope-intercept form )
Subtract {{{ y }}} from both sides
{{{ 0 = 3x - y + 2 }}}
Now just switch the 2 sides of the equation.
This doesn't change anything, so it's OK
{{{ 3x - y + 2 = 0 }}}
Subtract {{{ 2 }}} from both sides
{{{ 3x - y = -2 }}}
This is now in the standard form with
{{{ A = 3 }}} and {{{ B = -1 }}} and {{{ C = -2 }}}