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
Answered by
GPT 3.5
To translate a line 3 units to the right and 2 units down, we need to add 3 to the x-coordinate and subtract 2 from the y-coordinate for each point.
The original points are (-4, 2) and (-4, 6).
For the first point (-4, 2), adding 3 to the x-coordinate and subtracting 2 from the y-coordinate:
(-4 + 3, 2 - 2) = (-1, 0)
So, the new point for (-4, 2) is (-1, 0).
For the second point (-4, 6), adding 3 to the x-coordinate and subtracting 2 from the y-coordinate:
(-4 + 3, 6 - 2) = (-1, 4)
So, the new point for (-4, 6) is (-1, 4).
Therefore, the new points on the translated line are (-1, 0) and (-1, 4).
The original points are (-4, 2) and (-4, 6).
For the first point (-4, 2), adding 3 to the x-coordinate and subtracting 2 from the y-coordinate:
(-4 + 3, 2 - 2) = (-1, 0)
So, the new point for (-4, 2) is (-1, 0).
For the second point (-4, 6), adding 3 to the x-coordinate and subtracting 2 from the y-coordinate:
(-4 + 3, 6 - 2) = (-1, 4)
So, the new point for (-4, 6) is (-1, 4).
Therefore, the new points on the translated line are (-1, 0) and (-1, 4).