Respuesta :

The line segment has has an equation:
y = -x - 4

The line intersects the x-axis at x = -4
Rotating 90 degrees along the origin, the x-intercept would be y-intercept wit the negative sign.
The line segment passes through (0, 4)
The new coordinate of X is (2, 6) and the new coordinate of Y is (-3, 1)

Answer:lerrn more

Step-by-step explanation:

There are 2 possibilities:

if F is rotated 90° about the origin in the clockwise (negative) direction, the image is the point F'(3, 0), as shown with the red line segments.

if F is rotated 90° about the origin in the counterclockwise (positive) direction, the image is the point F'(-3, 0), as shown with the green line segments.

both 1 and 2 are possible.

Remark: A rotation of point F, it the movement of F in a circle with center O and with radius OF.

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