Question

Trapezoid JKLM is shown on the coordinate plane below:

Trapezoid JKLM on the coordinate plane with ordered pairs at J negative 7, negative 2, at K negative 4, negative 2, at L negative 2, negative 5, at M negative 9, negative 5.

If trapezoid JKLM is translated according to the rule (x, y) → (x + 8, y − 3), what are the coordinates of point L′?
(1, −5)
(−10, 6)
(−5, 3)
(6, −8)

Answer 1

To find the coordinates of point L′ after the translation defined by the rule (x, y) → (x + 8, y - 3), we start with the original coordinates of point L.

The coordinates of point L are:
L(-2, -5)

Now we will apply the translation:

1. For the x-coordinate:
\(-2 + 8 = 6\)

2. For the y-coordinate:
\(-5 - 3 = -8\)

So after applying the translation, the new coordinates of point L′ are:
L′(6, -8)

Therefore, the coordinates of point L′ are **(6, -8)**.