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?

Answer 1

To translate a point up 3 units and to the right 2 units, we need to add 3 to the y-coordinate and 2 to the x-coordinate.

For the point (1, -5):
The new x-coordinate is 1 + 2 = 3
The new y-coordinate is -5 + 3 = -2

So, the translated point is (3, -2).

For the point (4, -4):
The new x-coordinate is 4 + 2 = 6
The new y-coordinate is -4 + 3 = -1

So, the translated point is (6, -1).

Therefore, the two points following the translation are (3, -2) and (6, -1).