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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.
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What is the slope of a line passing through the two points - Round your answer to the nearest tenth?
That depends on the points in order to find the slope whereas no points have been given.
What is the slope of the line that passes through the pair of points 17 and 101?
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.
How many lines can be drawn perpendicular to a given like through a point not on the given line?
In Geometry
Can you draw a regular pentagon with one diagonal through that pentagon at any two possible points?
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.)
How many points are 4cm from a given line and 4 cm from a point on that line?
There are an infinity of points 4cm from a given line. These points form 2 lines parallel to and either side of the original line. Equally, there are an infinite number of points 4cm from a given point on the original line. These points lie on the circumference of a circle radius 4cm with its centre at the given point. There are only 2 points that fulfil both conditions. These points are found on the circumference of the circle where a diameter perpendicular to the original line and passing through the given point meets the circumference of the circle. These two points are also where the two parallel lines form tangents with the circle.
