Given a point on a line segment (−4, −6)

Question

, what is the new point when the point is rotated clockwise about the origin 90 degrees?(1 point)
Responses

(−6, 4)

(−6, −4)

(4, 6)

(−4, 6)

Answer 1

To rotate the point \( (-4, -6) \) clockwise about the origin by 90 degrees, you can use the following transformation for a clockwise rotation:

\[ (x, y) \rightarrow (y, -x) \]

Using this transformation:

• The original point is \( (-4, -6) \).
• Applying the transformation gives us:

\[ (-6, -(-4)) = (-6, 4) \]

Thus, the new point after rotating \( (-4, -6) \) 90 degrees clockwise around the origin is:

\[ \boxed{(-6, 4)} \]