Systems # of solutions

Front

What is the solution (x, y) to a system of equations?

Back

The point where the equations intersect.

Front

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

Back

The equations represent the same line.

Front

What does it mean if a system of equations has no solution?

Back

The equations represent parallel lines.

Front

What is the number of solutions if two lines intersect at one point?

Back

One Solution.

Front

If two lines are parallel, how many solutions does the system have?

Back

No Solution.

Front

What is the graphical representation of a system with infinitely many solutions?

Back

Two overlapping lines.

Front

What does it mean if two lines are the same line in a system of equations?

Back

There are infinitely many solutions.

Front

How can you determine the number of solutions in a system of equations?

Back

By analyzing the slopes and y-intercepts of the lines.

Front

What is the slope of parallel lines?

Back

The slopes are equal.

Front

What is the slope of intersecting lines?

Back

The slopes are different.