Answer:
To translate line segment ST by (2, -7), we need to shift each point of the line segment by the given amounts in the x and y directions.
Let's say point S has coordinates (x₁, y₁) and point T has coordinates (x₂, y₂).
1) Translate the x-coordinates:
- Add 2 to both x₁ and x₂ to shift the points horizontally.
2) Translate the y-coordinates:
- Subtract 7 from both y₁ and y₂ to shift the points vertically.
After applying the translation, the new coordinates of the translated line segment would be:
- Point S': (x₁ + 2, y₁ - 7)
- Point T': (x₂ + 2, y₂ - 7)
For example, if point S has coordinates (1, 4) and point T has coordinates (5, 9), the translation by (2, -7) would result in:
- Point S': (1 + 2, 4 - 7) = (3, -3)
- Point T': (5 + 2, 9 - 7) = (7, 2)
Therefore, the translated line segment ST would have point S' at (3, -3) and point T' at (7, 2).
Explanation: