To rotate the point (-1, 3) 90 degrees clockwise around the origin, we can use the following formula:
(x', y') = (y, -x)
where (x, y) are the coordinates of the original point, and (x', y') are the coordinates of the rotated point.
So, for the point (-1, 3), we have:
x = -1
y = 3
Using the formula, we get:
x' = 3
y' = -(-1) = 1
Therefore, the coordinates of the point after rotation are (3, 1).
To graph this point, we can plot it on the coordinate plane. The point (3, 1) is located 3 units to the right of the origin and 1 unit above the origin.
The graph of the point (-1, 3) and its image (3, 1) after rotation 90 degrees clockwise around the origin is shown below:
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| (3, 1)
|
|
------O------
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|
|
| (-1, 3)