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)
To find the coordinates of point L' after the translation, we apply the rule (x, y) → (x + 8, y - 3) to the coordinates of point L (-2, -5).
Adding 8 to the x-coordinate and subtracting 3 from the y-coordinate:
(-2 + 8, -5 - 3) = (6, -8)
Therefore, the coordinates of point L' are (6, -8).
The correct answer is:
(6, −8)