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 point 3 units to the right and 2 units down, we add 3 to the x-coordinate and subtract 2 from the y-coordinate.
For the point (-4, 2):
The new x-coordinate is -4 + 3 = -1
The new y-coordinate is 2 - 2 = 0
So the new point on the translated line is (-1, 0).
For the point (-4, 6):
The new x-coordinate is -4 + 3 = -1
The new y-coordinate is 6 - 2 = 4
So the new point on the translated line is (-1, 4).