Question

Question
A line contains the points (−4, 2)
and (−4, 6)
. The line is translated 3 units to the right and 2 units down. What are the new points on the translated line?

Answer 1

To find the new points on the translated line, we first need to apply the translations to the original points \((-4, 2)\) and \((-4, 6)\).

**Step 1: Translate each point.**

- **Translation:** 3 units to the right means we add 3 to the x-coordinate.
- **Translation:** 2 units down means we subtract 2 from the y-coordinate.

**For the point \((-4, 2)\):**
- New x-coordinate: \(-4 + 3 = -1\)
- New y-coordinate: \(2 - 2 = 0\)
- New point: \((-1, 0)\)

**For the point \((-4, 6)\):**
- New x-coordinate: \(-4 + 3 = -1\)
- New y-coordinate: \(6 - 2 = 4\)
- New point: \((-1, 4)\)

**Step 2: Compile the new points.**
The new points on the translated line are:
\[
(-1, 0) \quad \text{and} \quad (-1, 4)
\]