How many solutions (systems)

Front

What are the possible types of solutions for a system of linear equations?

Back

No Solution, One Solution, Infinitely Many Solutions.

Front

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

Back

The lines are parallel and never intersect.

Front

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

Back

The lines intersect at exactly one point.

Front

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

Back

The two lines are the same line.

Front

How can you determine if two lines are parallel?

Back

They have the same slope.

Front

What is the slope of a line in the equation y = mx + b?

Back

m represents the slope of the line.

Front

If two lines have different slopes, what can be said about their intersection?

Back

They will intersect at exactly one point.

Front

What is the y-intercept in the equation y = mx + b?

Back

b represents the y-intercept, where the line crosses the y-axis.

Front

How can you tell if two lines are the same line?

Back

They have the same slope and the same y-intercept.

Front

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

Back

Two parallel lines that never meet.