Question 174703
The slope of a line is the rise divided by the run.  For the two points given,
the rise is 2-3 = -1.  The run is 5-(-7) = 5 + 8 = 13.  Therefore the slope is 
-1/13.  The general two-point formula for a straight line is 
  y-2 = (-1/13)*(x-5).
This formula can be simplified to y = -1/13*x +5/13 + 2 = -1/13*x + 31/13.

Check the slope intercept formula by substituting for x the value 5.  Then
y = -1/13*5 + 31/13 = -5/13 +31/13 = 26/13 = 2 (the value that corresponds to x = 5).