Distance in the Coordinate Plane

You can move the BIG BLACK POINTS anywhere you'd like.
Questions: 1) How can you calculate the length of the green segment, or |RISE|, WITHOUT counting spaces (or gridlines)? 2) How can you calculate the length of the red segment, or |RUN|, WITHOUT counting spaces (or gridlines)? 3) Let's call "d" the distance between point A and point B. Write an equation that expresses the relationship among d, |RISE|, and |RUN|. 4) Use the relationship you wrote for (3) to calculate the distance between A(-3, 4) and B(2, -6) without using the applet above. After you arrive at your answer, use the applet to check your work.