6.1: Solving Systems by Graphing

Front

What does it mean if a system of equations has 0 solutions?

Back

The lines representing the equations are parallel and will never intersect.

Front

How can you determine if a point is a solution to a system of equations?

Back

The ordered pair must satisfy both equations in the system.

Front

What does it indicate if the graph of a linear system shows overlapping lines?

Back

It indicates that there are infinitely many solutions to the system.

Front

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

Back

The graph will show two parallel lines that do not intersect.

Front

What is the significance of the intersection point of two lines in a system of equations?

Back

The intersection point represents the unique solution to the system.

Front

What are the possible outcomes when solving a system of linear equations?

Back

A system can have one solution, no solution, or infinitely many solutions.

Front

What does it mean for two lines to be coincident?

Back

Coincident lines are the same line, meaning they have infinitely many solutions.

Front

How can you visually identify a system of equations with one solution?

Back

The lines intersect at exactly one point on the graph.

Front

What is the relationship between the slopes of parallel lines?

Back

Parallel lines have the same slope but different y-intercepts.

Front

What is the role of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis.