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?(1 point) The new point for (−4, 2) is: (). The new point for (−4, 6) is: ().

Answer 1

To translate a point, you add the translation values to the coordinates of the point.

Given the points:
- \((-4, 2)\)
- \((-4, 6)\)

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

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

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

So, the new points after translation are:
- The new point for \((-4, 2)\) is: \((-1, 0)\)
- The new point for \((-4, 6)\) is: \((-1, 4)\)