A line contains the points (−4, 2)

Question

(
−
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?

Answer 1

To translate the points on the line, you need to adjust the coordinates of each point according to the translation amounts.

The translation is specified as 3 units to the right (which means you add 3 to the x-coordinate) and 2 units down (which means you subtract 2 from the y-coordinate).

Let's apply the translation to each point:

1. For the point \((-4, 2)\):

   • New x-coordinate: \(-4 + 3 = -1\)
   • New y-coordinate: \(2 - 2 = 0\)
   • Translated point: \((-1, 0)\)

2. For the point \((-4, 6)\):

   • New x-coordinate: \(-4 + 3 = -1\)
   • New y-coordinate: \(6 - 2 = 4\)
   • Translated point: \((-1, 4)\)

Therefore, the new points on the translated line are \((-1, 0)\) and \((-1, 4)\).