A line contains the points (2, 5)

Question

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

(6, 9)
and (8, 11)
left parenthesis 6 comma 9 right parenthesis and left parenthesis 8 comma 11 right parenthesis

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

(−2, 1)
and (0, 3)

Answer 1

To translate the line containing the points (2, 5) and (4, 7) up 4 units and to the left 4 units, we will adjust each point accordingly.

1. Original Points:

   • Point A: (2, 5)
   • Point B: (4, 7)

2. Translation Up 4 Units:

   • New y-coordinate becomes: Original y + 4

3. Translation Left 4 Units:

   • New x-coordinate becomes: Original x - 4

Now let's calculate the coordinates of the translated points:

For Point A (2, 5):

• New x-coordinate = 2 - 4 = -2
• New y-coordinate = 5 + 4 = 9

So Point A becomes (-2, 9).

For Point B (4, 7):

• New x-coordinate = 4 - 4 = 0
• New y-coordinate = 7 + 4 = 11

So Point B becomes (0, 11).

Thus, the new points after the translation are (-2, 9) and (0, 11).

The correct response is: (−2, 9) and (0, 11)