Question 433090
If the given points are (x1,y1) and (x2,y2), then
the formula to use is:
(y - y1) / (x - x1) = (y2 - y1) / (x2 - x1) 
Applying this to your points,
(-2,4), (3,9)
{{{ (y - 4) / (x - (-2)) = (9 - 4) / (3 - (-2)) }}}
{{{ (y - 4) / (x + 2) = 5 / 5 }}}
{{{ (y - 4) / (x + 2) = 1 }}}
{{{ y - 4 = x + 2 }}}
{{{ y = x + 6 }}}
Check to see if it goes through the points
(-2,4)
{{{ 4 = -2 + 6 }}}
{{{ 4 = 4 }}}
OK
(3,9)
{{{ 9 = 3 + 6 }}}
{{{ 9 = 9 }}}
OK