MTSS Solving Systems of Equations by Graphing

Front

What does it mean for two lines to be parallel in the context of graphing systems of equations?

Back

Parallel lines never intersect because they have the same slopes.

Front

What is the solution to a system of equations when the lines are parallel?

Back

No solution.

Front

How do you solve a system of equations by graphing?

Back

You graph both equations on the same coordinate plane and identify the point(s) where they intersect.

Front

What is the solution to the system of equations represented by the point (-2, -3)?

Back

The solution is the point (-2, -3), which is where the two lines intersect.

Front

What is the solution to the system of equations represented by the point (0, 3)?

Back

The solution is the point (0, 3), which is where the two lines intersect.

Front

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

Back

The solution is the point (6, -2), which is where the two lines intersect.

Front

What are the characteristics of a system of equations with one unique solution?

Back

The lines intersect at exactly one point.

Front

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

Back

The lines are the same, resulting in infinitely many solutions.

Front

What is the graphical representation of a system of equations?

Back

It is represented by the lines of the equations plotted on a coordinate plane.

Front

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

Back

If the lines are parallel and do not intersect, the system has no solution.