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?
The new point for (-4, 2) is: (__)
The new point for (-4, 6) is: (__)
To translate a point (x, y) a certain number of units to the right and a certain number of units down, we add the number of units to the x-coordinate and subtract the number of units from the y-coordinate.
For the point (-4, 2), translating it 3 units to the right and 2 units down, we add 3 to the x-coordinate and subtract 2 from the y-coordinate:
New x-coordinate: -4 + 3 = -1
New y-coordinate: 2 - 2 = 0
Therefore, the new point for (-4, 2) is (-1, 0).
For the point (-4, 6), using the same translation, we add 3 to the x-coordinate and subtract 2 from the y-coordinate:
New x-coordinate: -4 + 3 = -1
New y-coordinate: 6 - 2 = 4
Therefore, the new point for (-4, 6) is (-1, 4).