a line contains 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

To find the new points on the translated line, we need to apply the given translation to each point on the original line.

Translation involves moving each point a certain number of units horizontally and vertically.

In this case, the translation is 3 units to the right and 2 units down.

For the point (-4, 2):

To move 3 units to the right, we add 3 to the x-coordinate:
-4 + 3 = -1.

To move 2 units down, we subtract 2 from the y-coordinate:
2 - 2 = 0.

So, the new coordinates for the point (-4, 2) after translation are (-1, 0).

For the point (-4, 6):

To move 3 units to the right, we add 3 to the x-coordinate:
-4 + 3 = -1.

To move 2 units down, we subtract 2 from the y-coordinate:
6 - 2 = 4.

So, the new coordinates for the point (-4, 6) after translation are (-1, 4).

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