Question

A line contains the points (−4, 2)
(
−
4
,

2
)
and (−4, 6)
(
−
4
,

6
)
. The line is translated 3 units to the right and 2 units down. What are the new points on the translated line?(1 point)
The new point for (−4, 2)
(
−
4
,

2
)
is: ().
The new point for (−4, 6)
(
−
4
,

6
)
is: ().

Answer 1

To translate a point, you add the translation values to the coordinates of the point. The translation given is 3 units to the right and 2 units down.

1. For the point \((-4, 2)\):
- Move 3 units to the right: \(-4 + 3 = -1\)
- Move 2 units down: \(2 - 2 = 0\)

So, the new point for \((-4, 2)\) is \((-1, 0)\).

2. For the point \((-4, 6)\):
- Move 3 units to the right: \(-4 + 3 = -1\)
- Move 2 units down: \(6 - 2 = 4\)

So, the new point for \((-4, 6)\) is \((-1, 4)\).

The new points on the translated line are:
- The new point for \((-4, 2)\) is: \((-1, 0)\).
- The new point for \((-4, 6)\) is: \((-1, 4)\).