Question 1069587
Use the point-slope formula
{{{ ( y -(-7) ) / ( x -(-5) ) = ( 4 -(-7) ) / ( 0 -(-5) ) }}}
{{{ ( y + 7 ) / ( x + 5 ) = ( 4 + 7 ) / 5 }}}
{{{ ( y + 7 ) / ( x + 5 ) = 11 / 5 }}}
Multiply both sides by {{{ 5*( x + 5 ) }}}
{{{ 5*( y + 7 ) = 11*( x + 5 ) }}}
{{{ 5y + 35 = 11x + 55 }}}
{{{ 11x - 5y = -20 }}}
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check:
Does it go through ( -5, -7 ) ?
{{{ 11*(-5) - 5*(-7) = -20 }}}
{{{ -55 + 35 = -20 }}}
{{{ -20 = -20 }}}
Does it go through ( 0,4 )?
{{{ 11*0 - 5*4 = -20 }}}
{{{ -20 = -20 }}}
OK