Demonstrate the translation of a line segment of 3 units to the left and 5 units down if the endpoints of the line segment are (—2, 7) and (0, 3). (1 point)
• (-5, 7) and (—3, 3)
O (-7, 4) and (-5, 0)
• (1, 2) and (3, -2)
• (-5, 2) and (—3, —2)
To perform the translation of a line segment 3 units to the left and 5 units down, we subtract 3 from the x-coordinates and subtract 5 from the y-coordinates of the endpoints.
The given endpoints are (-2, 7) and (0, 3).
For the first endpoint, subtracting 3 from the x-coordinate and 5 from the y-coordinate gives:
-2 - 3 = -5 and 7 - 5 = 2
For the second endpoint, subtracting 3 from the x-coordinate and 5 from the y-coordinate gives:
0 - 3 = -3 and 3 - 5 = -2
Therefore, the translated endpoints are (-5, 2) and (-3, -2).