Fix This Triangle

The corners of a triangle are plotted on a Cartesian plane below

  1. Find the gradient of each side
  2. Find the x and y intercepts of each side
  3. Which is the longest side?
  4. Find the mid point of the longest side
  5. Move one of the corners up, down, left or right by one place (keeping the x or y value as an integer) to turn the triangle into an Isosceles triangle. How many ways can the Isosceles triangle be created?