Question

Question
A line segment is translated 3 units down and 1 unit to the left. One of the endpoints after the translation is (5, 8)
(
5
,

8
)
. What was this point before the translation?

Answer 1

To find the original endpoint of the line segment before the translation, we need to reverse the translation process. The translation involved moving 3 units down and 1 unit to the left.

1. The new y-coordinate after moving down 3 units is given as 8. To find the original y-coordinate, we add 3:
\[
y_{\text{original}} = 8 + 3 = 11
\]

2. The new x-coordinate after moving 1 unit to the left is given as 5. To find the original x-coordinate, we add 1:
\[
x_{\text{original}} = 5 + 1 = 6
\]

Combining these values, the original endpoint before the translation was at the point:
\[
(6, 11)
\]