Question

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

The coordinates of P' is (9, -6) and L' is (3, -1).

Given that

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

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

We have to determine

What are the coordinates of P’ and L’?

According to the question

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

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

The coordinates of point P after translation using mapping is,

$\rm P(x, \ y) - P'(x+5, y)\\ \\ P(4, -6) - P'(4+5, \ -6)\\ \\ P(4, -6) - P'(9, -6)$

And the coordinates of point L after translation using mapping is,

$\rm L(x, \ y) - L'(x+5, y)\\\\L(-2, 1) - L'(-2+5, \ -1)\\\\L(4, -6) - L'(3, -1)$

Hence, The coordinates of P' is (9, -6) and L' is (3, -1).

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Answer 2

Answer:

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’(3, 1)

Step-by-step explanation: