Michele translates a line up 3 units and to the right 2 units. If two points on the original line are (1.-5) and (4,-4), what are these two points following the translation?
To translate a point up 3 units and to the right 2 units, we add 3 to the y-coordinate and 2 to the x-coordinate.
For the first point (1, -5):
New x-coordinate: 1 + 2 = 3
New y-coordinate: -5 + 3 = -2
The new point is (3, -2).
For the second point (4, -4):
New x-coordinate: 4 + 2 = 6
New y-coordinate: -4 + 3 = -1
The new point is (6, -1).
Therefore, the two points following the translation are (3, -2) and (6, -1).