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

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

(−7, 4)
and (−5, 0)

Answer 1

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

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

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

So, the new coordinates for the first endpoint are \((-5, 2)\).

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

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

So, the new coordinates for the second endpoint are \((-3, -2)\).

Thus, the translated endpoints of the line segment are \((-5, 2)\) and \((-3, -2)\).

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