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How can you find the normal to a point on a sphere at any arbitrary point on the sphere?
It's the extension of the sphere's radius drawn to that point.
What does the equation allows you to find on any point on the line?
The x and y coordinates
What is the relationship between a manipulated and a responding variable?
That is the point of doing the experiment. You are trying to find out if there is any relationship at all.
How many of non collinear points in plane?
Infinitely many. There are infinitely many points in the plane and although any pair of points define a line, no matter how many lines you are given, it is always possible to find a point that is not on any of them - that is, a point that is not collinear.
How do you construct a line that intersects an original line?
Take the equation of one line, e.g. y = 2x + 2. To intersect this line with any other line, take any point on that line, then find any other line such that the same point also satisfies the second equation. Example: Line A: y = 2x + 2 Solve for x = 0 gives y = 2. Thus, (0, 2) is a point on line A. Now find any other line who goes through the same point. For example, 2x - 2. There is an infinite number of solutions to your question.
