classifying linear systems

Front

What is a solution of a linear system if the lines are the same?

Back

Infinitely Many solutions

Front

How many solutions does the system of equations have if they are parallel?

Back

No Solution

Front

What does it mean if a system of linear equations has one solution?

Back

The two lines are Intersecting lines.

Front

What does it mean when two linear equations have the same slope and same y-intercept?

Back

They coincide with each other.

Front

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

Back

The lines are parallel.

Front

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

Back

The lines are the same.

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.

Front

If two lines intersect at a point, how many solutions does the system have?

Back

One Solution.

Front

What is the relationship between the coefficients of two equations that represent the same line?

Back

They are proportional.