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

Answer 1

To find the new points after translating the line, we need to apply the translation to each of the original points.

The original points are:
1. \((-4, 2)\)
2. \((-4, 6)\)

The translation is 3 units to the right and 2 units down.

1. **Translating \((-4, 2)\)**:
- For moving right: \(x\) coordinate changes from \(-4\) to \(-4 + 3 = -1\)
- For moving down: \(y\) coordinate changes from \(2\) to \(2 - 2 = 0\)
- New point: \((-1, 0)\)

2. **Translating \((-4, 6)\)**:
- For moving right: \(x\) coordinate changes from \(-4\) to \(-4 + 3 = -1\)
- For moving down: \(y\) coordinate changes from \(6\) to \(6 - 2 = 4\)
- New point: \((-1, 4)\)

After the translation, the new points are:
1. \((-1, 0)\)
2. \((-1, 4)\)