To determine which ordered pairs correspond to the points described, let's first analyze the coordinates of the points based on the information provided:
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The first point is located in quadrant two, positioned at 1 increment along the x-axis and 6 increments along the y-axis. Since it is in quadrant two, the coordinates will be (-1, 6).
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The second point is also in quadrant two, positioned at 3 increments along the x-axis (which is -3 since it's in quadrant two) and 2 increments along the y-axis. This point is therefore (-3, 2).
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The third point is located in quadrant three, positioned at 5 increments along the x-axis (which is -5 since it's in quadrant three) and 2 increments along the y-axis (which is also negative, so -2). This gives the point (-5, -2).
Based on these points:
- The first point is (-1, 6)
- The second point is (-3, 2)
- The third point is (-5, -2)
Now I will look for the matching ordered pairs:
- From the options given:
- (−2,−5), (2,−3), (6,−1)
- (−5,2), (−3,2), (−1,6)
- (5,−2), (3,2), (1,6)
- (−5,−2), (−3,2), (−1,6)
The correct response with the points we determined would be: (−5,−2), (−3,2), (−1,6).