A line contains the points (2, 5) and (4, 7) . Translate this line up 4 units and to the left 4 units. What are the points after the translation?(1 point)

Question

Responses

(6, 1) and (8, 3)
left parenthesis 6 comma 1 right parenthesis and left parenthesis 8 comma 3 right parenthesis

(−2, 1) and (0, 3)
left parenthesis negative 2 comma 1 right parenthesis and left parenthesis 0 comma 3 right parenthesis

(−2, 9) and (0, 11)
left parenthesis negative 2 comma 9 right parenthesis and left parenthesis 0 comma 11 right parenthesis

(6, 9) and (8, 11)

Answer 1

To translate a point up 4 units, we add 4 to the y-coordinate. To translate a point to the left 4 units, we subtract 4 from the x-coordinate.

For the point (2, 5), when we translate it up 4 units, we get (2, 5+4)=(2,9). When we translate it to the left 4 units, we get (2-4, 9)=(−2, 9).

For the point (4, 7), when we translate it up 4 units, we get (4, 7+4)=(4,11). When we translate it to the left 4 units, we get (4-4, 11)=(0, 11).

Therefore, the points after the translation are (−2, 9) and (0, 11).