To determine the location of the triangle formed by the points (3,−1), (1,−3), and (5,−3), we can examine the coordinates of each point:
- (3, −1): This point is in Quadrant IV (positive x-coordinate and negative y-coordinate).
- (1, −3): This point is in Quadrant IV (positive x-coordinate and negative y-coordinate).
- (5, −3): This point is also in Quadrant IV (positive x-coordinate and negative y-coordinate).
Since all three points are located in Quadrant IV, the triangle formed by these points is also entirely in Quadrant IV.
The answer is:
4 (for Quadrant IV)