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

(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

(6, 9)
and (8, 11)

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 perform the following calculations:

1. **Translate each point up by 4 units:** This means we add 4 to the y-coordinate of each point.
2. **Translate each point left by 4 units:** This means we subtract 4 from the x-coordinate of each point.

Let's apply these transformations to the points one by one:

For the point (2, 5):
- Move up 4 units: \(5 + 4 = 9\)
- Move left 4 units: \(2 - 4 = -2\)
- New point: \((-2, 9)\)

For the point (4, 7):
- Move up 4 units: \(7 + 4 = 11\)
- Move left 4 units: \(4 - 4 = 0\)
- New point: \((0, 11)\)

After translation, the new points are:
- (-2, 9) and (0, 11)

The correct response is:
**(−2, 9) and (0, 11)**
left parenthesis negative 2 comma 9 right parenthesis and left parenthesis 0 comma 11 right parenthesis