When you have two points of a line, you can connect the dots.
yes in mathematical world every solution have its graphical representation and its common sense that two points on a graph form only one line.......so two points are always colloinear.....!
Of course not.The graph of [ f(x) = 4 ] is the straight line [ Y = 4 ] . . . a perfectly good function with all of its points on the same horizontal line.The graph of [ f(x) = x2 ] is the parabola with its nose at the origin and opening upwards. Another perfectly good function which has two points on every horizontal line [ Y = K ].In fact, I think probably every f(x) that has 'x to some power' in it always has at least two points on the same horizontal line.
The following problem is a parabola so there is only one turning points so the answer is going to be: 2
Any 3 geometric points, as long as they are all in different locations and not superimposed on each other, will define a plane. In other words, there is only one plane that can pass through 3 distinct points. If you had only two points, it would define a line, but not a plane. A plane can include 2 points but if there are only 2 that are specified, the plane can rotate around those 2 points, generating infinitely many planes.
With only two points you don't know the direction of the graph. Drawing a graph using only two points can result in the diagram being wrong.
No. Two points determine one line, and only one.
Only if all points are shared.
a line graph will join all of the points yet a best fit graph will only join the dots which follow the pattern.
In plane Euclidean geometry, only onle line can go through two distinct points.
A scatter graph on the data you already have, then place a regression line ( line of best fit) across the points and predict the information based on this line. It obviously isn't accurate and is only a prediction and if there is no correlation in the plotted points and no line of best fit can be placed on there can be no prediction made.
When you have two points of a line, you can connect the dots.
No, the midpoints of the triangle's sides would be in the same locations as the feet of the altitudes, while the Euler points (midway between the orthocenter and the reference triangle's verticies) would be distinct from them. As a result, the nine points would become only 6 distinct points.
Answer: the name of a line confers to only 2 points and the intersection of two planes is a line. (updated)
In graph theory, a planar graph is a graph that can be embedded in the plane, i.e., it can be drawn on the plane in such a way that its edges intersect only at their endpoints. In other words, it can be drawn in such a way that no edges cross each other.A planar graph already drawn in the plane without edge intersections is called a plane graph or planar embedding of the graph. A plane graph can be defined as a planar graph with a mapping from every node to a point in 2D space, and from every edge to a plane curve, such that the extreme points of each curve are the points mapped from its end nodes, and all curves are disjoint except on their extreme points. Plane graphs can be encoded by combinatorial maps.Example of Planner graphButterfly Graph.
That question can only be answered by the person who made the graph from the data table, referred to as "you" in the question. Get busy!
Answer: yes in mathematical world every solution have its graphical representation and its common sense that two points on a graph form only one line.......so two points are always colloinear.....!