A figure has a 30° angle located at the point (−6,−8) . What is the coordinate point for this angle when the figure is translated (x+4, y−1) ?(1 point)

Question

Responses

(−10,−7)
left parenthesis negative 10 comma negative 7 right parenthesis

(6,−8)
left parenthesis 6 comma negative 8 right parenthesis

(6,8)
left parenthesis 6 comma 8 right parenthesis

(−2,−9)

Answer 1

To translate the figure (x, y) by the vector (4, -1), you add 4 to the x-coordinate and subtract 1 from the y-coordinate.

For the given point (-6, -8), the translated point would be:
(x + 4, y - 1) = (-6 + 4, -8 - 1) = (-2, -9)

Therefore, the coordinate point for this angle after translation is (-2, -9). The correct response is (−2,−9).