Question 724246
Let {{{ m }}} = slope
Say you are given the point ( x1 , y1 )
The general form for the point-slope formula is
{{{ ( y - y[1] ) / ( x - x[1] ) = m }}}
You are given:
( x1 , y1 ) = ( 18,7 )
{{{  m = -5/9 }}}
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Plugging in these numbers,
{{{ ( y - 7 ) / ( x - 18 ) = -5/9 }}}
Multiply both sides by {{{ 9*( x - 18 ) }}}
{{{ 9*( y - 7 ) = -5*( x - 18 ) }}}
{{{ 9y - 63 = -5x + 90 }}}
{{{ 9y = -5x + 153 }}}
{{{ y = (-5/9)*x + 17 }}}
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check:
Does it go through ( 18,7 ) ?
{{{ y = (-5/9)*x + 17 }}}
{{{ 7 = (-5/9)*18 + 17 }}}
{{{ 7 = -10 + 17 }}}
{{{ 7 = 7 }}}
OK