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

5 answers

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).
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
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).
Wrong
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).