The question is seriously compromised by poor spelling or grammar.
If you meant "... through a given point" ie one point, then the answer is infinitely many.
If you meant "... through given points" ie more than one point, then the answer is at most one.
So a huge difference between the two possible answers.
I hope that will teach you the importance of correct spelling and grammar.
Chat with our AI personalities
That depends on the points in order to find the slope whereas no points have been given.
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.
To find the slope of a line passing through two points, use the formula (y2 - y1) / (x2 - x1). In this case, the two points are (17, 101). Since there is only one given point, it is not possible to find the slope of the line passing through these points.
In Geometry
A regular pentagon can always be drawn through any two given points with those two points as any two vertices of the pentagon. (Diagonals of a pentagon connect two vertices which are not next to each other.)