Given:
The point P' is the image of the point P under the translation [tex](x,y) \implies (x-6, y-1)[/tex]
The coordinates of the point P are (6,0)
We need to determine the coordinates of the point P'
Coordinates of the point P':
The coordinates of the point P' can be determined by substituting the coordinates of the point P(6,0) in the translation.
Thus, substituting the coordinates, we have;
[tex](6,0)\implies (6-6,0-1)[/tex]
Simplifying the coordinates, we get;
[tex](6,0)\implies (0,-1)[/tex]
Thus, the coordinates of the point P' is (0,-1)
The coordinate of P' will be (0, -1)
Translation is a way of shifting an object in the xy plane to another location.
Given the coordinate of P(6, 0)
x = 6
y =0
If the image P is translated under the rule (x,y)→(x−6,y−1), the resulting image will be at:
P' = (6-6, 0 - 1)
P' = (0, -1)
Hence the coordinate of P' will be (0, -1)
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