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 (x, y) to the right by a units and down by b units, the new point becomes (x + a, y - b).
For the given line, the translation is 3 units to the right and 2 units down.
The first point (-4, 2) becomes (-4 + 3, 2 - 2) which simplifies to (-1, 0).
The second point (-4, 6) becomes (-4 + 3, 6 - 2) which simplifies to (-1, 4).
Therefore, the new points on the translated line are (-1, 0) and (-1, 4).