Slope: Alternate Interpretation

[color=#1e84cc][b]Recall that the slope of a line is a number that simply tells us how STEEP that line actually is. [br][/b][/color][color=#1e84cc]You've already learned that slope is the RATIO of the RISE to the RUN between any two points that lie on the line. [/color][br][br][color=#980000][b]Here may be a more meaningful interpretation of the phrase "slope of a line" for some of you:[/b][/color] [br][br][color=#9900ff][b]The slope of a line[/b][/color] is the [color=#9900ff][b]amount by which the output (y-value) of the line changes[/b][/color] [b]when the input (x-value) increases by 1 unit. [br][br][/b]Interact with the applet below for a few minutes. [br]Feel free to drag the WHITE POINT up and down and ZOOM IN or ZOOM OUT if you need to. [br]Answer the questions that follow. ([b][color=#9900ff]Note[/color] [color=#cc0000]color[/color] [color=#9900ff]changes[/color] [color=#cc0000]that[/color] [color=#9900ff]may[/color] [/b][color=#cc0000][b]occur[/b]![/color])
[color=#9900ff][b]What causes the slope of the line to appear purple? [/b][/color]
[b][color=#ff0000]What causes the slope of the line to appear red?[/color][/b]
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Information: Slope: Alternate Interpretation