Question 1053764
You are given the point:
( 3, -6 )
and slope = 
{{{ 1/3 }}}
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The line is TOTALLY determined by just
1 point and the slope, so that's all you need
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Now use the general point-slope formula:
{{{ ( y - (-6) ) / ( x - 3 ) = 1/3 }}}
{{{ ( y + 6 ) / ( x - 3 ) = 1/3 }}}
Multiply both sides by {{{ 3*( x - 3 ) }}}
{{{ 3*( y + 6 ) = x - 3 }}}
{{{ 3y + 18 = x - 3 }}}
{{{ 3y = x - 21 }}}
{{{ y = (1/3)*x - 7 }}}
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check the answer:
( 3, -6 )
{{{ -6 = (1/3)*3 - 7 }}}
{{{ -6 = 1 - 7 }}}
{{{ -6 = -6 }}}
OK