Let's determine which coordinates match the given pairs of lines based on the pairs of points provided for each line.
1. First pair of lines:
- Line 1: (2,5) and (-3,-5)
- Line 2: (3,0) and (0,-3)
- Point of Intersection: (-4,-5)
2. Second pair of lines:
- Line 1: (1,1) and (2,3)
- Line 2: (0,3) and (2,5)
- Analyzing the previously given results, the point of intersection between these lines would be (2, 3).
3. Third pair of lines:
- Line 1: (1,0) and (0,-1)
- Line 2: (0,3) and (-2,-1)
- The point of intersection between these lines is given to be (1,1).
4. Fourth pair of lines:
- Line 1: (2,0) and (0,-2)
- Line 2: (4,5) and (3,3)
- The point of intersection between these lines would be (4,5).
Assigning these points to the table:
\begin{tabular}{|c|c|c|}
\hline Line 1 & Line 2 & Point of Intersection \\
\hline(2,5),(-3,-5) & (3,0),(0,-3) & [tex]$(-4,-5)$[/tex] \\
\hline(1,1),(2,3) & (0,3),(2,5) & [tex]$(2,3)$[/tex] \\
\hline(1,0),(0,-1) & (0,3),(-2,-1) & [tex]$(1,1)$[/tex] \\
\hline(2,0),(0,-2) & (4,5),(3,3) & [tex]$(4,5)$[/tex] \\
\hline
\end{tabular}
This completes the table with the correct points of intersection filled in.
