Question 431474
The formula to use is
{{{ (y - 2)/(x - (-4)) = (7 - 2)/(8 - (-4)) }}}
{{{ (y - 2) / (x + 4) =5/12 }}}
Multiply both sides by {{{ 12*(x+4) }}}
{{{12*(y - 2) = 5*(x + 4) }}}
{{{ 12y - 24 = 5x + 20 }}}
{{{ 12y = 5x + 44 }}}
{{{ y = (5/12)*x + 11/3 }}}
check the answer:
(-4,2)
{{{ 2 = (5/12)*(-4) + 11/3 }}}
{{{ 2 = -5/3 + 11/3 }}}
{{{ 2 = 6/3 }}}
{{{2 = 2}}}
OK
You can check (8,7)
Here's the graph:
{{{ graph( 400, 400, -10, 10, -10, 10, (5/12)*x + 11/3) }}}