[list=1][*][icon]/images/ggb/toolbar/mode_slope.png[/icon]Create a slider labelled “[b][color=#ff0000]m[/color][/b]” ([b][color=#ff0000]THE SLOPE[/color][/b]) which should vary its measure between -50 and +50;[/*][*]Insert the equation of the straight [b][color=#ff0000]y=mx[/color][/b]. Let m oscillating, by clicking on the right button of the mouse and choosing “enable animation”;[/*][/list][br][b][color=#ff0000]“As you can see, this relationship between x and y, represents a straight line in the Cartesian Coordinate System. Each of the points, who belong to the line, has the coordinates which, substituted to y and x in the equation, let them become an identity”.[/color][/b]
Observe carefully what's happening to the STRAIGHT LINE position in relationships with the value assumed by[b][color=#ff0000] m[/color][/b] and write your answer below;
[list=1][*]Create a second slider labelled “[color=#ff0000][b]q[/b][/color]” ( [color=#ff0000][b]THE Y-INTERCEPT[/b][/color]) which should vary its measure between -50 and +50;[br][/*][*]Insert the equation of the straight line [b]y=mx+q[/b];[br][/*][*]Let both, m and q, oscillating at the same time;[/*][/list]
Observe carefully what's happening to the STRAIGHT LINE position in relationship with the value assumed by [b][color=#ff0000][size=150]m[/size][/color][/b] and [b][color=#ff0000][size=100][size=150]q[/size][/size][/color][/b], and write your answer.
[list=1][*]Insert the equation of the straight line [b][color=#ff0000]y=(-1/m)x+q[/color][/b];[br][/*][*]Let both, m and q, oscillating at the same time;[/*][/list][*][/*][*][/*]
Observe carefully what happens to the second STRAIGHT LINE position in relationship with the first one and write your answer.
[list=1][*]Create a third slider labelled “[b][color=#ff0000]t[/color][/b]” which should vary its measure between -50 and +50;[br][/*][*]Insert the equation of the straight line [b][color=#ff0000]y=(-1/m)x+t[/color][/b];[br][/*][*]Create an intersection point [color=#ff0000]“[b]A[/b]”[/color] between the first and the second straight line. By clicking on the right button of the mouse, choose “enable trace of the point”.Let m, q and t oscillating at the same time;[br][/*][*]Observe what's happening, do you think it’s possible to create an animated draw using this technique? [br][/*][*]Finally, turn off the m slider, and put it around the value of 3,5. Observe what happens. [/*][*]Exciting! Isn’t it :) [br][/*][/list]