Side AB lies on the x-axis and is thus horizontal. Side AC lies on the y-axis and is thus vertical. Sides AB and AC are therefore perpendicular to each other. This alone is enough info for us to conclude that this is a right triangle.
to find the slope its rise over run and you go up 3 and run 4 to get 3/4. then you just look on the y axis and see that the line passes 2. so that is the answer