Answer:
To demonstrate the translation of a line segment 3 units to the left, we will apply the translation vector (-3, 0) to the coordinates of the line segment.
Given the line segment with endpoints at (-2, 7) and (0, 3), we will subtract 3 from each x-coordinate to shift the segment 3 units to the left.
Translation process:
1. Subtract 3 from the x-coordinate of the first endpoint (-2, 7):
New x-coordinate = -2 - 3 = -5
The translated first endpoint is now (-5, 7).
2. Subtract 3 from the x-coordinate of the second endpoint (0, 3):
New x-coordinate = 0 - 3 = -3
The translated second endpoint is now (-3, 3).
Therefore, after applying the translation of 3 units to the left, the line segment with endpoints (-2, 7) and (0, 3) becomes the line segment with translated endpoints (-5, 7) and (-3, 3).