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
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).