If you have the coordinates of two points, say P = (a,b) and Q = (c,d), then slope = (b-d)/(a-c) that is, the difference in the y coordinate of the two points divided by the difference in the x coordinate of the points taken in the same order.
If the coordinates of the end points are (a,b) and (c,d) then the midpoint is the point whose coordinates are [(a+c)/2, (b+d)/2]
There are infinite circles which can be drawn with 2 defined points.. Because if we have 2 points then we can draw infinite equal intersecting lines in infinite directions, These intersecting lines are the radii of the circles. Like : we have 2 points You can draw infinite isosceles triangles as taking the line joining the points For example (activity) : we have 2 points A, B so let's join A and B which will make line AB and so let's take another point C and place that point in such a way that AC = AB and we observe that there are infinite points which can be placed in such a way like how we marked C. Now draw a circle with center C and radius A, we will observe that the circle also cuts through B and so as we have infinite points like C, so we can have infinite circles ..... And so we conclude that infinite circles with different radii can be drawn through two defined distant points ...
Given a set of n points it is possible to find a polynomial of order n-1 to fit them. So if we have 3 points, that means there's a polynomial of order 2 that will pass through all the points. A polynomial of order 2 is also known as a quadratic, or parabola. Let's use an example to illustrate: Take the 3 points (0,0), (1,1), (2,0) Then these will fit a curve with the equation y = ax2+bx+c If we put the first point into this equation (y=0, and x=0), then that means: 0 = 0+0+c so c=0. The second point (y=1, and x=1) shows us that: 1 = a.1+b.1+c = a+b (since c=0). so 1 = a+b. The third point says that: 0 = 4a+2b, so b = -2a. We now have a simultaneous equation in a and b. (1): a+b=1 (2): b=-2a These can easily be solved by substitution giving: a=-1, b=2 Therefore we have the curve y = -x2+2x which fits the three points given above. Technical note: It can be the case that the polynomial required has an order of less than n-1 for n points, but it will never be more.
a + (b + c) = (a + b) + c for any [ordinary] numbers a, b, and c.
If points B and C are collinear, it means that they lie on the same straight line. To determine if points B and C are collinear, you would need to know the coordinates or have a visual representation of the points.
The thre points A, B, and C are collinear if they are in the same line.
fugvniby
# 1
Collinear.
They are collinear points that lie on the same line
5 its 4
A. Coincident
Points on the same line are collinear (co-linear) points.
a b c, t r w, z p t; any three variables
Two points determine a unique line. Therefore, there are infinitely many circles that can pass through two given points. This is because a circle can be defined by its center, which can lie anywhere along the perpendicular bisector of the line segment connecting the two points.
10 lines, but only if no three of them are collinear.