Solving System of Equations by Graphing

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean to solve a system of equations by graphing?

Back

It means to find the point(s) where the graphs of the equations intersect.

Front

What is the solution to a system of equations?

Back

The point where the equations intersect, representing the values of the variables that satisfy all equations.

Front

What does it indicate if two lines are parallel when graphing a system of equations?

Back

It indicates that there is no solution to the system, as the lines never intersect.

Front

What does it mean if the lines of a system of equations coincide?

Back

It means there are infinitely many solutions, as the lines are the same.

Front

How can you determine the solution to a system of equations graphically?

Back

By identifying the intersection point of the lines on the graph.

Front

What is the intersection point of two lines?

Back

The point where the two lines cross, representing the solution to the system of equations.

Front

If a system of equations has no solution, what does that imply about the lines?

Back

The lines are parallel and will never meet.

Front

What is the slope of a line in the context of a system of equations?

Back

The steepness of the line, indicating how much y changes for a change in x.

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis.