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THE STRAIGHT LINE 1

Autore:Prof.ssa Maiolino Daniela
  1. Toolbar ImageCreate a slider labelled “m” (THE SLOPE) which should vary its measure between -50 and +50;
  2. Insert the equation of the straight y=mx. Let m oscillating, by clicking on the right button of the mouse and choosing “enable  animation”;
“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”.

Observe carefully what's happening to the STRAIGHT LINE position in relationships with the value assumed by m and write your answer below;

  1. Create a second slider labelled “q” ( THE Y-INTERCEPT) which should vary its measure between -50 and +50;
  2. Insert the equation of the straight line y=mx+q;
  3. Let both, m and q, oscillating at the same time;

Observe carefully what's happening to the STRAIGHT LINE position in relationship with the value assumed by m and q, and write your answer.

  1. Insert the equation of the straight line y=(-1/m)x+q;
  2. Let  both, m and q, oscillating at the same time;

  • Observe carefully what happens to the second STRAIGHT LINE position in relationship with the first one and write your answer.

    1. Create a third slider labelled “t” which should vary its measure between -50 and +50;
    2. Insert the equation of the straight line y=(-1/m)x+t;
    3. Create an intersection point “A” 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;
    4. Observe what's happening, do you think it’s possible to create an animated draw using this technique?
    5. Finally, turn off the m slider, and put it around the value of 3,5. Observe what happens.
    6. Exciting! Isn’t it :) 

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