Question

A line contains the points (-4,2) and (-4,6) the line is translated 2 units down and 3 to the right what are the new points on the translated line

Answer 1

To translate the line containing the points \((-4, 2)\) and \((-4, 6)\) 2 units down and 3 units to the right, we can adjust each point accordingly.

1. **Translation of each point:**
- **Down 2 units:** This means we decrease the y-coordinate of each point by 2.
- **Right 3 units:** This means we increase the x-coordinate of each point by 3.

Let's apply these translations to the points:

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

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

**Thus, the new points on the translated line are: \((-1, 0)\) and \((-1, 4)\).**