The point K(6,1) translated 1 unit left and 1 unit down becomes K(5,0), representing a shift in both horizontal and vertical positions in a Cartesian coordinate system.
The notation "K(6,1)" typically represents a point in a coordinate system, where the first number (6) represents the horizontal position (x-coordinate) and the second number (1) represents the vertical position (y-coordinate).
When translated 1 unit left and 1 unit down, the new coordinates can be determined by subtracting 1 from the original x-coordinate (6 - 1 = 5) and subtracting 1 from the original y-coordinate (1 - 1 = 0).
Therefore, the translated coordinates are K(5, 0). This means that the point originally located at (6,1) has been moved 1 unit to the left along the horizontal axis and 1 unit down along the vertical axis.
The new position reflects the change in the point's location due to the translation. In a Cartesian coordinate system, such translations are common operations used to shift points or objects in various directions.