Slope Triangle Rotation (VA)

[color=#000000]Interact with the applet below for a few minutes. [br]Then answer the questions that follow. [/color]
[color=#000000][i]Since [b][color=#38761D]a[/color][/b] and [b][color=#980000]b[/color][/b] represent lengths of segments, their values are non-negative! [br]Keep this in mind as you answer the questions below. [/i][br][br][/color]
1.
What is the slope of line j? Write this slope in terms of [b][color=#38761D]a[/color][/b] and [b][color=#980000]b[/color][/b].
2.
What is the measure of the [b][color=#666666]gray angle[/color][/b]? How do you know this?
3.
What is the sum of the measures of the [b][color=#1e84cc]blue acute angle[/color][/b] and [b][color=#ff00ff]pink acute angle[/color][/b]? Explain how you clearly know this to be true.
4.
What is the slope of line k in the applet above? Write this slope in terms of [b][color=#38761D]a[/color][/b] and [b][color=#980000]b[/color][/b].
5.
What can you conclude about 2 (non-horizontal & non-vertical) perpendicular lines drawn in the coordinate plane?
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Information: Slope Triangle Rotation (VA)