Graph the image of S(−7, −1) after a rotation 270° clockwise around the origin

To rotate the point S(−7, −1) by 270° clockwise around the origin, you can follow these steps:

1. Understand the rotation: A 270° clockwise rotation is equivalent to a 90° counterclockwise rotation.

2. Use the rotation formula: For a clockwise rotation of θ degrees around the origin, the new coordinates (x’, y’) can be calculated as:

– x’ = y

– y’ = -x

3. Apply the formula:

– Original point S(−7, −1):

– x = −7

– y = −1

– After applying the rotation:

– x’ = −1 (which is y)

– y’ = 7 (which is -x)

Therefore, the image of the point S(−7, −1) after a 270° clockwise rotation around the origin is S'(−1, 7).

You can visualize this by plotting the original point and marking where it moves after the rotation. Great job working through this rotation! If you have more questions or need further assistance, feel free to ask!