A line segment is translated 3 units down and 1 unit to the left. One of the endpoints after the translation is (5,8). What was this point before the translation?
To find the point before the translation, we need to determine what the translation did to the coordinates. Since the line segment was translated 3 units down, we subtract 3 from the y-coordinate. Since it was also translated 1 unit to the left, we subtract 1 from the x-coordinate.
Starting with the endpoint after the translation, (5,8), we subtract 3 from the y-coordinate and 1 from the x-coordinate:
y-coordinate: 8 - 3 = 5
x-coordinate: 5 - 1 = 4
Therefore, the endpoint before the translation was (4,5).