One Solution, No Solution, Many Solutions

Front

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

Back

The two lines represented by the equations are the same line.

Front

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

Back

The two lines represented by the equations intersect at exactly one point.

Front

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

Back

No Solution.

Front

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

Back

Two parallel lines that never intersect.

Front

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

Back

Two overlapping lines that are identical.

Front

What is the condition for two lines to be considered coincident?

Back

They have the same slope and y-intercept.

Front

What is the condition for two lines to be parallel?

Back

They have the same slope but different y-intercepts.

Front

What is the slope of the line represented by the equation y = 5x + 3?

Back

5.

Front

What is the slope of the line represented by the equation y = 5x - 2?

Back

5.

Front

If two lines have different slopes, how many solutions does their system have?

Back

One Solution.