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?(1 point)
To translate a point, you add the desired horizontal and vertical shifts to the original coordinates.
For the first point (-4, 2), we shift it 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 shift it 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).
Therefore, the new points on the translated line are (-1, 0) and (-1, 4).
To find the new points on the translated line, we first need to apply the given translation.
Translation involves shifting the points horizontally and vertically.
Given:
Original points: (-4, 2) and (-4, 6)
Translation: 3 units right and 2 units down
To shift a point horizontally, we add the horizontal shift value to the x-coordinate.
To shift a point vertically, we subtract the vertical shift value from the y-coordinate.
Applying the translation to the first point (-4, 2):
Horizontal shift: -4 + 3 = -1
Vertical shift: 2 - 2 = 0
New coordinates of the first point: (-1, 0)
Applying the translation to the second point (-4, 6):
Horizontal shift: -4 + 3 = -1
Vertical shift: 6 - 2 = 4
New coordinates of the second point: (-1, 4)
Therefore, the new points on the translated line are (-1, 0) and (-1, 4).