What is a unique line in geometry?

What they mean by unique is that there is no line that does not coincide exactly with the first one and passes through the same two points. And if you move your second line it is considered a transformation and it is now a new line distinct from the original line. That is what is meant by unique.

What are unique lines?

Video quote: And distinct means different lines are determined by all possible pairs of these six points well here's your first step you want to start with. One point so draw everything from one point.

What determines a unique line?

A line is a set of points in the cartesian plane in a straight direction which satisfy an equation of one degree between y and x. Every pair of two points will have a unique line passing through them.

What determines a unique straight line in geometry?

There is a unique (straight) line passing through any two given points. If P and Q are the points we denote the full line, extending beyond the points P and Q to the bounds of our vision, by P-Q. That part of a line between two points on it and including the two points as endpoints is called a line segment, denoted PQ.

What is a distinct line in geometry?

Distinct intersecting lines are lines(usually two lines) that intersect at one and only one point.

What is a unique straight line?

A straight line can be described uniquely by specifying two distinct points through which the line passes. A straight line can be specified by giving its gradient and one point through which it passes. Alternatively, one point and a direction vector also describes a straight line as in part 1(n).

What do you mean by distinct points?

It means that one, and only one line can pass through some given two points. There can be infinitely many pairs of parallel or perpendicular lines which can pass through a set of two distinct points. But two points (distinct) determine a unique line passing through both of them.

What are two distinct lines?

Two distinct lines meeting at a point are called lines. Two distinct lines meeting at a point are called lines.

How do you find two distinct points on a line?

Video quote: And plug in a 1 and plug in a 4 all right I could take other numbers but those are just ones I chose. We usually put the equation. In there and then we just plug.

What does coincide mean in geometry?

that it occurs at the same time

The word ‘coincide’ means that it occurs at the same time. In terms of Maths, the coincident lines are lines that lie upon each other in such a way that when we look at them, they appear to be a single line, instead of double or multiple lines.

What is coincident straight line?

Two lines that lie on top of one another are called coincident lines.

Are coincident lines?

Two lines that lie exactly on top of each other or we can say that one line is exactly lying on top of another line are called coincident lines. Equations of two coincident lines are the same when reduced to the simplest form.



Coincident Lines.

Are coincident lines dependent?

When we graph them, they are one line, coincident, meaning they have all points in common. This means that there are an infinite number of solutions to the system. Because this system has at least one solution it is considered to be consistent. … If the system has infinite solutions, then it is called dependent.

Are coinciding lines parallel?

Are coincident lines are the same as parallel lines? There is a slight difference between the two parallel lines and two coincident lines. Parallel lines have constant space between them while coincident don’t. Parallel lines do not have points in common while coincident lines have all points in common.

Do coinciding lines have infinite solutions?

When we graph them, they are one line, coincident, meaning they have all points in common. This means that there are an infinite number of solutions to the system.

Is parallel lines consistent?

Parallel lines never intersect, so they have no solutions. Since the lines are parallel, it is an inconsistent system.

Is intersecting inconsistent?

Since the lines intersect in a single point, the lines have one solution. There is at least one solution so the system is not inconsistent.

What is a unique solution?

In a set of linear simultaneous equations, a unique solution exists if and only if, (a) the number of unknowns and the number of equations are equal, (b) all equations are consistent, and (c) there is no linear dependence between any two or more equations, that is, all equations are independent.

Is no solution dependent or independent?

inconsistent

If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent .

What does it mean if a system of equations is inconsistent?

no solution

A system of equations is called an inconsistent system of equations if there is no solution because the lines are parallel. A dependent system of equations is when the same line is written in two different forms so that there are infinite solutions.

What makes a matrix inconsistent?

Inconsistent. If a system of equations has no solutions, then it is inconsistent. If the last column (in an augmented matrix) is a pivot column, that is, it has a pivot, then it’s inconsistent.

Can an inconsistent system be dependent?

An independent system of equations has exactly one solution (x,y) . An inconsistent system has no solution, and a dependent system has an infinite number of solutions.

What happens when you graph the same equation twice?

When you graph the exact same equation twice, you will have infinite solutions.

What are three differences between an inconsistent system and a consistent and independent system?

Video quote: Goes when there's no solution when the lines are parallel this is called inconsistent. Okay so it just means that there's no. There's no point of intersection.