To find the new equation after translating the point (22, 12, 16) by 4 units to the left and 6 units up, we start with the original coordinates of the point. The translation can be described as follows:
- Translating 4 units to the left involves subtracting 4 from the x-coordinate.
- Translating 6 units up involves adding 6 to the y-coordinate.
Thus, the new coordinates after the translation can be calculated as:
- New x-coordinate = 22 – 4 = 18
- New y-coordinate = 12 + 6 = 18
So, the new point after the translation is (18, 18, 16). If we want to express this as an equation or simply refer to the translated point, we can use:
(x, y, z) = (18, 18, 16)