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Through any two distinct points, exactly one line can be drawn. For 5 non-collinear points, each pair of points can form a line. The number of ways to choose 2 points from 5 is given by the combination formula ( \binom{5}{2} ), which equals 10. Therefore, 10 lines can be drawn through 5 non-collinear points.
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How many lines can be drawn out of 14 points on a plane with no 3 or more points collinear?
There are 91 lines.
How many lines can be drawn through eight points?
Only one line can be drawn through eight points.
How many different lines can be drawn if each line contains at least two of these points a b c d e?
10 lines, but only if no three of them are collinear.
How many straight lines can be formed with 3 collinear points?
only 1 lines can contain 3 collinear points. Maybe you mean coplanar?
How many straight lines can be formed by connecting any 2 of the 6 non-collinear points?
15 Consider one of the points. Call it point A. You can draw one line containing A through each of the other five lines (i.e., there are five lines that contain both A and another of the five points). Now, consider another of the points -- call it B. Excluiding the line that contains A and B, there are four lines that can be drawn containing B and one of the other four points. Continue this process for all the points. You get 5+4+3+2+1=15 lines. In general, if you have n non-collinear points, there are n+(n-1)+(n-2)+...+2+1=n*(n+1)/2 lines that can be drawn through any two of those points.
