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)

Question

and (0, 3)
.(1 point)
Responses

(−7, 4)
and (−5, 0)
left parenthesis negative 7 comma 4 right parenthesis and left parenthesis negative 5 comma 0 right parenthesis

(−5, 2)
and (−3,−2)
left parenthesis negative 5 comma 2 right parenthesis and left parenthesis negative 3 comma negative 2 right parenthesis

(1, 2)
and (3,−2)
left parenthesis 1 comma 2 right parenthesis and left parenthesis 3 comma negative 2 right parenthesis

(−5, 7)
and (−3, 3)

Answer 1

To translate a point, we adjust its coordinates according to the specified changes in the horizontal and vertical directions.

For your endpoints of the line segment:

1. First endpoint: (−2, 7)

   • Move 3 units to the left: \( -2 - 3 = -5 \)
   • Move 5 units down: \( 7 - 5 = 2 \)
   • New coordinates: (−5, 2)

2. Second endpoint: (0, 3)

   • Move 3 units to the left: \( 0 - 3 = -3 \)
   • Move 5 units down: \( 3 - 5 = -2 \)
   • New coordinates: (−3, −2)

Thus, after translating the line segment, the new endpoints are (−5, 2) and (−3, −2).

The correct response is: (−5, 2) and (−3,−2).