Question 59434
The given points are (3,4) and (2,-1)

Slope of the line through these points =
  difference in y coordinates/diff in x coord

Slope = (-1-4)/(2-3)
      = -5/-1
      = 5

Equation of the line with 5 as the slope and passing through (3,4) is 
  y - 4 = 5(x - 3)

==> y - 4 = 5x - 15
==> y -4 +4 = 5x - 15 +4
==> y = 5x - 11

This is the required equation in slope intercept form.

We find the y intercept of this line is - 11

To find the x intercept we plug in y = 0 in the above equation
==> 0 = 5x - 11
==> 11 = 5x - 11+ 11
==> 11 = 5x
==> 11/5 = 5x/5
==> 11/5 = x

The x intercept is 11/5 and y intercepr is -11