Find the centroid.
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10 points
Captionless Image
(1, -2)
(-2, 1)
(-1, 2)
(2, -1)
(3, -6)
To find the centroid, we need to find the average of the x-coordinates and the average of the y-coordinates of the given points.
Let's add up the x-coordinates:
x-coordinate: 1 + (-2) + (-1) + 2 + 3 = 3
Next, let's add up the y-coordinates:
y-coordinate: (-2) + 1 + 2 + (-1) + (-6) = -6
Now, we divide both the x-coordinate and y-coordinate sum by the number of points (which is 5 in this case) to find the averages:
Average x-coordinate = 3/5 = 0.6
Average y-coordinate = -6/5 = -1.2
Therefore, the centroid is located at the coordinates (0.6, -1.2).