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

Answer 1

[AI-generated answer — Bot GPT 3.5]

To translate a point (x, y) right 3 units and down 2 units, we add 3 to the x-coordinate and subtract 2 from the y-coordinate.

The original points are (-4, 2) and (-4, 6).

For the first point:
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:
The new x-coordinate is -4 + 3 = -1
The new y-coordinate is 6 - 2 = 4

Therefore, the new point is (-1, 4).

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

Answer 2

A line second is translated 3 units down and one unit to the left 1 of the end points after the translation is 5, 8. What was the point before the translation

Answer 3

[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.

The translated point is (5, 8).

To reverse the translation, we will subtract 1 from the x-coordinate and add 3 to the y-coordinate.

The original x-coordinate is 5 - 1 = 4.
The original y-coordinate is 8 + 3 = 11.

Therefore, the original point before the translation is (4, 11).

Answer 4

Wrong

Answer 5

[AI-generated answer — Bot GPT 3.5]

Apologies for the mistake.

To find the original point before the translation, we need to reverse the translation by moving 3 units up and one unit to the right.

The translated point is (5, 8).

To determine the original point, subtract 1 from the x-coordinate and add 3 to the y-coordinate.

The original x-coordinate is 5 - 1 = 4.
The original y-coordinate is 8 + 3 = 11.

Therefore, the original point before the translation is (4, 11).