Question

Finding Coordinates
PL has endpoints P(4, −6) and L(−2, 1).

The segment is translated using the mapping (x, y) → (x + 5, y).

What are the coordinates of P’ and L’?
P’(9, -6), L’(-2, 1)
P’(4, -6), L’(3, 1)
P’(9, -6), L’(3, 1)
P’(9, -1), L’(3, 6)

Answer 1

Translate x by +5, y unchanged:
P' = (4+5, −6) = (9, −6)
L' = (−2+5, 1) = (3, 1)

So P'(9, −6), L'(3, 1).