Question

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)
Responses

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

(6, 1)
and (8, 3)

Answer 1

To translate the points (2, 5) and (4, 7) up 4 units and to the left 4 units, we can follow these steps:

1. **Starting Points:**
- First point: (2, 5)
- Second point: (4, 7)

2. **Translation Up 4 Units:**
- For both points, we add 4 to the y-coordinate.
- (2, 5) becomes (2, 5 + 4) = (2, 9)
- (4, 7) becomes (4, 7 + 4) = (4, 11)

3. **Translation Left 4 Units:**
- For both points, we subtract 4 from the x-coordinate.
- (2, 9) becomes (2 - 4, 9) = (-2, 9)
- (4, 11) becomes (4 - 4, 11) = (0, 11)

After translating both points, we get:
- First point: (−2, 9)
- Second point: (0, 11)

So the translated points are (−2, 9) and (0, 11).

The correct response is:

**(−2, 9) and (0, 11)**