Graphing System of Equations

Front

What does it mean if a system of linear equations has one solution?

Back

The two lines intersect at exactly one point.

Front

What is the graphical representation of a system of equations with no solution?

Back

The two lines are parallel and never intersect.

Front

What is the solution to a system of equations represented graphically?

Back

The point where the two lines intersect.

Front

If a system of linear equations has infinitely many solutions, what does this imply about the lines?

Back

The two lines coincide, meaning they are the same line.

Front

What is the solution to the system of equations represented by the point (6, -2)?

Back

The point (6, -2) is the intersection of the two lines.

Front

How can you determine if a system of equations has no solution?

Back

If the lines are parallel, they will never intersect.

Front

What does the term 'intersecting lines' refer to in the context of systems of equations?

Back

It refers to two lines that cross at a single point, indicating one solution.

Front

What is the significance of the coordinates (4, 3) in a system of equations?

Back

(4, 3) is the solution where the two lines intersect.

Front

What is the graphical representation of a system of equations with exactly one solution?

Back

Two lines that intersect at a single point.

Front

What does it mean if two lines in a system of equations are coincident?

Back

They represent the same line and have infinitely many solutions.