Discussion
If the centroid of the triangle formed by (7, x), (y, -6) and (9, 10) is at (6, 3), then the values of x and y are:
Answer: A
The centroid averages the three vertices.
\[ \frac{7 + y + 9}{3} = 6 \quad\Longrightarrow\quad 16 + y = 18 \quad\Longrightarrow\quad y = 2 \]
\[ \frac{x - 6 + 10}{3} = 3 \quad\Longrightarrow\quad x + 4 = 9 \quad\Longrightarrow\quad x = 5 \]
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