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?(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To translate a point, you need to add the X-translation to the X-coordinate, and the Y-translation to the Y-coordinate.

The X-translation is 3 units to the right, so we add 3 to the X-coordinate of each point.
The Y-translation is 2 units down, so we subtract 2 from the Y-coordinate of each point.

For the first point (-4, 2):
The new X-coordinate is -4 + 3 = -1.
The new Y-coordinate is 2 - 2 = 0.
Therefore, the new point is (-1, 0).

For the second point (-4, 6):
The new X-coordinate is -4 + 3 = -1.
The new Y-coordinate is 6 - 2 = 4.
Therefore, the new point is (-1, 4).

So, the new points on the translated line are (-1, 0) and (-1, 4).

Answer 2

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?(1 point)

Answer 3

[AI-generated answer — Bot GPT 3.5]

To translate a point, you need to add the X-translation to the X-coordinate, and the Y-translation to the Y-coordinate.

The X-translation is 3 units to the right, so we add 3 to the X-coordinate of each point.
The Y-translation is 2 units down, so we subtract 2 from the Y-coordinate of each point.

For the first point (-4, 2):
The new X-coordinate is -4 + 3 = -1.
The new Y-coordinate is 2 - 2 = 0.
Therefore, the new point is (-1, 0).

For the second point (-4, 6):
The new X-coordinate is -4 + 3 = -1.
The new Y-coordinate is 6 - 2 = 4.
Therefore, the new point is (-1, 4).

So, the new points on the translated line are (-1, 0) and (-1, 4).

Answer 4

A line segment is translated 3 units down and 1 unit to the left. One of the endpoints after the translation is (5, 8) . What was this point before the translation?(1 point)

Answer 5

[AI-generated answer — Bot GPT 3.5]

To find the original point before the translation, we need to reverse the translation by moving 3 units up and 1 unit to the right from the given point (5, 8).

Moving 3 units up means subtracting 3 from the Y-coordinate.
Moving 1 unit to the right means adding 1 to the X-coordinate.

For the Y-coordinate:
8 - 3 = 5

For the X-coordinate:
5 + 1 = 6

Therefore, the original point before the translation is (6, 5).