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 the points, we add 3 units to the x-coordinate (for the right translation) and subtract 2 units from the y-coordinate (for the downward translation).

Starting with the point \((-4, 2)\):
- New x-coordinate: \(-4 + 3 = -1\)
- New y-coordinate: \(2 - 2 = 0\)

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

Now, for the point \((-4, 6)\):
- New x-coordinate: \(-4 + 3 = -1\)
- New y-coordinate: \(6 - 2 = 4\)

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

Thus, the final answers are:
- The new point for \((-4, 2)\) is: \((-1, 0)\).
- The new point for \((-4, 6)\) is: \((-1, 4)\).