Question 420181
(-5,-7), (10,4)
The formula is:
{{{ (y - (-7)) / (x - (-5)) = (4 - (-7)) / (10 - (-5)) }}}
{{{ (y + 7) / (x + 5) = (4 + 7) / (10 + 5) }}}
{{{ (y + 7) / (x  + 5) = 11/15 }}}
{{{15*(y + 7) = 11*(x + 5) }}}
{{{15y + 105 = 11x + 55 }}}
{{{ 15y = 11x - 50 }}}
{{{ y = (11/15)*x - 10/3 }}}
check:
(-5,-7)
{{{-7 = (11/15)*(-5) - 10/3 }}}
{{{-7 = - 11/3 - 10/3 }}}
{{{-21 = -21}}}
OK
You can check the other point