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
To translate a line 3 units to the right and 2 units down, we need to 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 (-4,2):
Adding 3 to the x-coordinate: -4 + 3 = -1
Subtracting 2 from the y-coordinate: 2 - 2 = 0
Thus, the new point after translation is (-1,0).
For the second point (-4,6):
Adding 3 to the x-coordinate: -4 + 3 = -1
Subtracting 2 from the y-coordinate: 6 - 2 = 4
Thus, the new point after translation is (-1,4).
Therefore, the new points on the translated line are (-1,0) and (-1,4).