Question
A line contains the points (-4, 2) and (-4, 6). The line is translated 3 units to the right and 2 units down. What are the new points on the translated line?
Answers
GPT 3.5
To translate the line 3 units to the right and 2 units down, we will add 3 to the x-coordinate and subtract 2 from the y-coordinate of each point.
For the first point (-4, 2):
Adding 3 to the x-coordinate, we get: -4 + 3 = -1
Subtracting 2 from the y-coordinate, we get: 2 - 2 = 0
So the new coordinates of the first point are (-1, 0).
For the second point (-4, 6):
Adding 3 to the x-coordinate, we get: -4 + 3 = -1
Subtracting 2 from the y-coordinate, we get: 6 - 2 = 4
So the new coordinates of the second point are (-1, 4).
Therefore, the new points on the translated line are (-1, 0) and (-1, 4).
For the first point (-4, 2):
Adding 3 to the x-coordinate, we get: -4 + 3 = -1
Subtracting 2 from the y-coordinate, we get: 2 - 2 = 0
So the new coordinates of the first point are (-1, 0).
For the second point (-4, 6):
Adding 3 to the x-coordinate, we get: -4 + 3 = -1
Subtracting 2 from the y-coordinate, we get: 6 - 2 = 4
So the new coordinates of the second point are (-1, 4).
Therefore, the new points on the translated line are (-1, 0) and (-1, 4).