There are 91 lines.
Only one line can be drawn through eight points.
10 lines, but only if no three of them are collinear.
only 1 lines can contain 3 collinear points. Maybe you mean coplanar?
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.
There are 91 lines.
15 lines.
3 lines and one plane
Yes. You can draw infinitely many straight lines from each point.
Not sure about complanar. Coplanar lines can be collinear but need not be.
One.
Only one line can be drawn through eight points.
10 lines, but only if no three of them are collinear.
only 1 lines can contain 3 collinear points. Maybe you mean coplanar?
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.
Collinear lines lie on the same straight line passing through the same points and they are coplanular lines when meeting on the same plane.
The definition of a non-collinear line is that this is a line on which points do not lie on one line. The opposite of this is a collinear point. Collinear points refer to three points that do fall on a straight line.