To determine whether the lines represented by the two sets of points intersect, we need to understand their slopes. If the lines have the same slope, they are parallel and do not intersect. If the slopes are different, the lines will eventually intersect. If one of the lines is vertical (undefined slope), we can then determine the relationship depending on the slope of the other line.
Since no actual data is provided in the tables or coordinates, I cannot calculate the slopes or determine if they're parallel, perpendicular, or intersecting.
To analyze the relation of the lines, you would typically need to:
- Calculate the slope of each line using the formula \( m = \frac{y_2 - y_1}{x_2 - x_1} \) for points from each set.
- Compare the slopes:
- If slopes are equal, the lines are parallel (do not intersect).
- If slopes are negative reciprocals, they are perpendicular (intersect at 90 degrees).
- If slopes are different and not negative reciprocals, they will intersect at some point.
So the accurate answer based on the information given would be "You cannot tell without a graph" or calculating the slopes from specific point data. If you have that data, please provide it, and I can help further!
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