Question

Michelle translates a line up three units and to the right two units if two points on the original line are (1, -5) and (4, -4) what are these two points following the translation?

Answer 1

To translate a point up by three units, we add 3 to its y-coordinate. Similarly, to translate a point to the right by two units, we add 2 to its x-coordinate.

Given the original points are (1,-5) and (4,-4), we can apply the translation as follows:

For the point (1,-5):
- Translating up three units results in the new y-coordinate: -5 + 3 = -2
- Translating to the right two units results in the new x-coordinate: 1 + 2 = 3

So, the new coordinates for the first point after the translation are (3, -2).

For the point (4,-4):
- Translating up three units results in the new y-coordinate: -4 + 3 = -1
- Translating to the right two units results in the new x-coordinate: 4 + 2 = 6

So, the new coordinates for the second point after the translation are (6, -1).