Discovering the Meaning of y-Intercept (WS 5)
Below
you can see a linear equation and its graphical representation as a
line.
Note: Write down all your answers on a sheet of paper.
- Examine the line.
(a) Explain what is different
compared to the line in the previous dynamic
constructions.
(b) Have a look at the equation of the line. Again,
describe what is different compared to the equation in the
previous examples.
- Point B marks the intersection point between the line and the y-axis.
(a) Move point B
along the y-axis and describe how the position of the line changes.
(b) Explain how the equation of the line is effected by dragging point B.
- Try to find a connection between the coordinates of
point B
and the equation of the line.
(a) Write down your assumption.
(b) Check your assumption
for at least 3 different positions of point B and 2 different
values of slider m.
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