By using vectorial equation and the definition of line segment, we find that the coordinates of the point S are S(x, y) = (- 5, 10).
In this problem we know the coordinates of one end of the line segment ST and the coordinates of one end of the line segment. The vector is defined by the following vectorial equation:
ST = T(x, y) - S(x, y)
(5, - 8) = (0, 2) - S(x, y)
S(x, y) = (0, 2) - (5, - 8)
S(x, y) = (- 5, 10)
By using vectorial equation and the definition of line segment, we find that the coordinates of the point S are S(x, y) = (- 5, 10).
The statement is somewhat vague and may lead to mistake, correct form is shown below:
The coordinates of T are (0, 2) and the vector of the line segment ST is (5, - 8). What are the coordinates of S?
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