Question

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)
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

(1, 2)
and (3,−2)

left parenthesis 1 comma 2 right parenthesis and left parenthesis 3 comma negative 2 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

Translation rule: (x, y) → (x − 3, y − 5).

Apply to each endpoint:
- (−2, 7) → (−2 − 3, 7 − 5) = (−5, 2)
- (0, 3) → (0 − 3, 3 − 5) = (−3, −2)

So the image is (−5, 2) and (−3, −2).