If the point (1, 2) has been translated 9 units to the right and 3 units up, what are the coordinates of at the new location?
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To find the new coordinates after the translation, we add the given values to the original coordinates of the point (1, 2).
Given:
Translation to the right = 9 units
Translation up = 3 units
Original coordinates: (1, 2)
To find the new x-coordinate, we add the translation to the right (9) to the original x-coordinate (1):
New x-coordinate = 1 + 9 = 10
To find the new y-coordinate, we add the translation up (3) to the original y-coordinate (2):
New y-coordinate = 2 + 3 = 5
Therefore, the new coordinates of the point are (10, 5).
To find the new coordinates of a point after a translation, you need to add the amount of the translation to the original coordinates.
In this case, the point (1, 2) has been translated 9 units to the right and 3 units up. To find the new x-coordinate, add 9 to the original x-coordinate. To find the new y-coordinate, add 3 to the original y-coordinate.
Original x-coordinate: 1
Translation to the right: +9
New x-coordinate: 1 + 9 = 10
Original y-coordinate: 2
Translation up: +3
New y-coordinate: 2 + 3 = 5
Therefore, the coordinates of the point at the new location are (10, 5).