Question

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

the two points become (3, -2) and (6, -1).

Explanation:

To find the points, start by adding 3 to the Y coordinates bc You are doing a rightwards translation.. and you add 2 to the X coordinates.

Given the original points:

Point A: (1, -5)

Point B: (4, -4)

After the translation:

For point A, add 3 to the y-coordinate and 2 to the x-coordinate.

For point B, add 3 to the y-coordinate and 2 to the x-coordinate.

New coordinates:

Point A: (1 + 2, -5 + 3) = (3, -2)

Point B: (4 + 2, -4 + 3) = (6, -1)

So, after the translation, the two points become (3, -2) and (6, -1).