Question 442108
(-4,5), (0,-2)
The formula is:
{{{ (y - (-2)) / (x - 0) = ( 5 -(-2)) / ( -4 - 0 ) }}}
{{{ (y + 2) / x = ( 5 + 2) / ( -4 ) }}}
{{{ (y + 2) / x = -7/4 }}}
Multiply both sides by {{{4x}}}
{{{4*(y + 2) = -7x }}}
{{{ 4y + 8 = -7x }}}
{{{ 7x + 4y = - 8 }}}
check:
(-4,5)
{{{ 7x + 4y = - 8 }}}
{{{ 7*(-4) + 4*5 = - 8 }}}
{{{ -28 + 20 = -8 }}}
{{{ -8 = -8 }}}
OK
(0,-2)
{{{ 7x + 4y = - 8 }}}
{{{ 7*0 + 4*(-2) = - 8 }}}
{{{ 0 - 8 = -8 }}}
{{{ -8 = -8 }}}
OK