Question 1147214
You are given the points
( 2, 4 )
( -7, 9 )
Use the general point slope formula
{{{ ( y - 4 ) / ( x - 2 ) = ( 9 - 4 ) / ( -7 - 2 ) }}}
{{{ ( y - 4 ) / ( x - 2 ) = 5 / ( -9 ) }}}
{{{ (-9)*( y - 4 ) = 5*( x - 2 ) }}}
{{{ -9y + 36 = 5x - 10 }}}
{{{ -9y = 5x - 46 }}}
{{{ y = ( -5/9 )*x + 46/9 }}}
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check answer:
( 2,4 )
{{{ 4 = ( -5/9 )*2 + 46/9 }}}
{{{ 4 = -10/9 + 46/9 }}}
{{{ 4 = 36/9 }}}
{{{ 4 = 4 }}}
OK
and
( -7, 9 )
{{{ 9 = (-5/9)*(-7) + 46/9 }}}
{{{ 9 = 35/9 + 46/9 }}}
{{{ 9 = 81/9 }}}
{{{ 9 = 9 }}}
OK
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