Question 1053624
use the general point-slope formula
( -2, -6 )
{{{ m = 2/3 }}}
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{{{ ( y - (-6) ) / ( x - (-2) ) = 2/3 }}}
{{{ ( y + 6 ) / ( x + 2 ) = 2/3 }}}
Multiply both sides by {{{ 3*( x + 2 ) }}}
{{{ 3*( y + 6 ) = 2*( x + 2 ) }}}
{{{ 3y + 18 = 2x + 4 }}}
{{{ 3y = 2x - 14 }}}
{{{ y = (2/3)*x - 14/3 }}}
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check:
does it go through ( -2, -6 ) ?
{{{ -6 = (2/3)*(-2) - 14/3 }}}
{{{ -6 = -4/3 - 14/3 }}}
{{{ -6 = -18/3 }}}
{{{ -18 = -18 }}}
OK