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 add the values of the translation to the coordinates of the original point.
For the first point (-4, 2), we translate 3 units to the right and 2 units down. So the new x-coordinate is -4 + 3 = -1, and the new y-coordinate is 2 - 2 = 0. Therefore, the new point is (-1, 0).
For the second point (-4, 6), we also translate 3 units to the right and 2 units down. So the new x-coordinate is -4 + 3 = -1, and the new y-coordinate is 6 - 2 = 4. Therefore, the new point is (-1, 4).
Hence, the new points on the translated line are (-1, 0) and (-1, 4).