Why is the slope the same on a line when different points are used to identify the slope?
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<u>Given</u>:
The coordinates of the points A, B and C are (3,4), (4,3) and (2,1)
The points are rotated 90° about the origin.
We need to determine the coordinates of the point C'.
<u>Coordinates of the point C':</u>
The general rule to rotate the point 90° about the origin is given by
Substituting the coordinates of the point C in the above formula, we get;
Therefore, the coordinates of the point C' is (-1,2)