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, we can add or subtract the same amount from its x-coordinate and y-coordinate.
First, let's translate the first point (-4, 2).
To translate 3 units to the right, we add 3 to the x-coordinate:
-4 + 3 = -1
To translate 2 units down, we subtract 2 from the y-coordinate:
2 - 2 = 0
So the new coordinates for the first point are (-1, 0).
Next, let's translate the second point (-4, 6).
To translate 3 units to the right, we add 3 to the x-coordinate:
-4 + 3 = -1
To translate 2 units down, we subtract 2 from the y-coordinate:
6 - 2 = 4
So the new coordinates for the second point are (-1, 4).
Therefore, the new points on the translated line are (-1, 0) and (-1, 4).