Final answer:
To match each point of intersection to the correct pair of lines, we need to identify the lines that these points lie on. The correct matching is (1,1) - (4,7) for (1,1), and (1,-1) - (-5, 4) for (1,-1).
Step-by-step explanation:
To match each point of intersection to the correct pair of lines, we need to examine the given sets of coordinates and identify the lines that these points lie on. Let's analyze each set of coordinates:
- (1,1): This point lies on the line passing through (1,1) - (4,7).
- (1,-1): This point lies on the line passing through (1,-1) - (-5, 4).
- (4,7): This point lies on the line passing through (1,1) - (4,7).
- (-5, 4): This point lies on the line passing through (1,-1) - (-5, 4).
Hence, the correct matching is (1,1) - (4,7) for (1,1), and (1,-1) - (-5, 4) for (1,-1).