# Lines through Mon-Colinear Points

Given three points, there is one line that can be drawn through them if the points are colinear. If the three points are noncolinear,there are three lines that can be drawn through pairs of points. For three points, three is the greatest number of lines that can be drawn through pairs of points. Determine the greatest number of lines that can be drawn for four points, five points, and six points in a plane. Gerneralize for n points.

Â© BrainMass Inc. brainmass.com February 24, 2021, 2:21 pm ad1c9bdddfhttps://brainmass.com/math/graphs-and-functions/lines-through-mon-colinear-points-15952

#### Solution Preview

Solution. The greatest number of lines that can be drawn for four points, ...

#### Solution Summary

The relationship between non-colinear points and lines drawn through them is investigated and generalized. The explanation is concise.

$2.19