A line contains the points -4,2 and -4,6 the line is translated 3 units to the right and 2 units down
To translate a line 3 units to the right and 2 units down, we need to add 3 to the x-coordinates and subtract 2 from the y-coordinates of the given points.
The original points are:
Point A: (-4, 2)
Point B: (-4, 6)
After translating the line, the new points will be:
Point A': (-4 + 3, 2 - 2) = (-1, 0)
Point B': (-4 + 3, 6 - 2) = (-1, 4)
The translated line will pass through the points A' (-1, 0) and B' (-1, 4).