I think the question you mean to ask is, "Do three collinear points make a triangle?" Linear is simply the adjective form of "line", "collinear" is used to describe points that lie on the same line. (Two points not only can be collinear, but always are, so it makes little sense to describe them as such).
Collinear points cannot make a triangle, a triangle requires three noncollinear points.
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In general, a linear equation CANNOT be made to go through three points. That will only happen if the three points are collinear and in that case, the equation of the line will only require two points.
no coliner points donot make triangle
No, A plane can be drawn through any 3 points. If the 3 points are collinear then they make a line and a plane can contain a line. If the points are noncollinear then they can be used to form the corners of a triangle; all points of a triangle are in the same plane.
A triangle only has three sides. If you put three sticks together, you can make a triangle. If you had four sticks, you cannot make a triangle. That is why only three sticks are needed.
Yes, and no. The solution set to an inequality are those points which satisfy the inequality. A linear inequality is one in which no variable has a power greater than 1. Only if there are two variables will the solution be points in a plane; if there are more than two variables then the solution set will be points in a higher space, for example the solution set to the linear inequality x + y + z < 1 is a set of points in three dimensional space.