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 $(-3,-2)$