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 (−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) 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 (1, 2) and (3,−2)

Answer 1

To translate a line segment to the left by 3 units and down by 5 units, we need to subtract 3 from the x-coordinates of both endpoints and subtract 5 from the y-coordinates of both endpoints.

The given endpoints of the line segment are:
1. Point A: \((-2, 7)\)
2. Point B: \((0, 3)\)

Now, we'll perform the translation on both points:

**For Point A \((-2, 7)\):**
- Translate left by 3 units:
\(-2 - 3 = -5\)
- Translate down by 5 units:
\(7 - 5 = 2\)

So Point A translates to \((-5, 2)\).

**For Point B \((0, 3)\):**
- Translate left by 3 units:
\(0 - 3 = -3\)
- Translate down by 5 units:
\(3 - 5 = -2\)

So Point B translates to \((-3, -2)\).

After performing the translations, the new endpoints of the line segment are:
- \((-5, 2)\) and \((-3, -2)\).

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