solve systems by graphing

Front

What is the solution to the system of equations represented by the intersection of two lines?

Back

The solution is the point where the two lines intersect.

Front

If two lines are graphed and they intersect at the point (2, 5), what is the solution to the system of equations?

Back

(2, 5)

Front

What does it mean if two lines are parallel when graphed?

Back

They never intersect and have no solution.

Front

What is the significance of the slopes of two lines in determining if they are parallel?

Back

Parallel lines have the same slope.

Front

If a line is graphed twice, what can be said about the solutions?

Back

There are infinite solutions.

Front

What is the solution to the system of equations if the lines are identical?

Back

Infinite solutions.

Front

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

Back

If the lines are parallel, they have no solution.

Front

What is the graphical representation of a system of equations?

Back

It is represented by the intersection of two lines.

Front

What does it mean if two lines intersect at a single point?

Back

The system has one unique solution.

Front

If the equations of two lines are y = 2x + 3 and y = 2x - 1, what can be said about their relationship?

Back

They are parallel and have no solution.