Distance in the Coordinate Plane (2)

[color=#000000]In the coordinate plane below, you'll notice that the axes and gridlines are missing. [br][br]You can move the [b]BIG BLACK POINTS[/b] anywhere you'd like. [br]Use this applet to help guide you through the questions on your activity sheet. [br][br]After completing your activity sheet, please answer the questions that appear after the applet. [/color]
1) How can you calculate the length of the green segment, or [b]|RISE|[/b], WITHOUT counting spaces (or gridlines)?
2) How can you calculate the length of the red segment, or [b]|RUN|[/b], WITHOUT counting spaces (or gridlines)?
[color=#000000]3) Let's call "[i][b]d[/b][/i]" the distance between point [i]A[/i] and point [i]B[/i]. Write an equation that expresses the relationship among [i][b]d[/b][/i], [/color][color=#274e13][b]|RISE|[/b][/color][color=#000000], and[/color] [color=#cc0000][b]|RUN|[/b][/color][color=#000000].[/color]
4) Use the relationship you wrote for (3) to calculate the distance between [i]A[/i](-3, 4) and [i]B[/i](2, -6) [i]without[/i] using the applet above. After you arrive at your answer, use the applet to check your work.
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Information: Distance in the Coordinate Plane (2)