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

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

(−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

(−5, 7)
and (−3, 3)

Answer 1

To translate the endpoints of the line segment \((-2, 7)\) and \((0, 3)\) 3 units to the left and 5 units down, we perform the following calculations for each endpoint:

1. For the endpoint \((-2, 7)\):

   • Translate 3 units to the left: \(-2 - 3 = -5\)
   • Translate 5 units down: \(7 - 5 = 2\)
   • New point: \((-5, 2)\)

2. For the endpoint \((0, 3)\):

   • Translate 3 units to the left: \(0 - 3 = -3\)
   • Translate 5 units down: \(3 - 5 = -2\)
   • New point: \((-3, -2)\)

After translating both endpoints, the new endpoints of the line segment will be \((-5, 2)\) and \((-3, -2)\).

Thus, the correct response is: \((-5, 2)\) and \((-3, -2)\)