[All Steps] Three sets of points are described in the table below. For each set, decide whether there is a line that passes through every point. If not,
Question: Three sets of points are described in the table below. For each set, decide whether there is a line that passes through every point. If not, decide whether there is a line that comes close to every point.
| Set 1 | Set 2 | Set 3 | |||||
| \[{{x}_{1}}\] | \[{{y}_{1}}\] | \[{{x}_{2}}\] | \[{{y}_{2}}\] | \[{{x}_{_{3}}}\] | \[{{y}_{3}}\] | ||
| 2 | -6 | 0 | 10 | 5 | 1 | ||
| 3 | -2 | 1 | 4 | 6 | 2 | ||
| 4 | 2 | 2 | -1 | 7 | 4 | ||
| 5 | 6 | 3 | -6 | 8 | 8 | ||
| 6 | 10 | 4 | -12 | 9 | 16 | ||
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