**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 |

a) Set 1

b) Set 2:

c) Set 3:

**Solution:**The solution consists of 107 words (1 page)

**Deliverables:**Word Document