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

(−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)
left parenthesis negative 5 comma 7 right parenthesis and left parenthesis negative 3 comma 3 right parenthesis

(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

1 answer

To translate the line segment 3 units to the left and 5 units down, we need to subtract 3 from the x-coordinate and subtract 5 from the y-coordinate of each endpoint.

The endpoints of the translated line segment would be:

(-2 - 3, 7 - 5) = (-5, 2) and (0 - 3, 3 - 5) = (-3, -2)

Therefore, the correct answer is option A:

(-5, 2) and (-3, -2)