Graph Systems of Equations

Front

What does it mean if two lines are parallel?

Back

They have the same slopes.

Front

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

Back

The lines are intersecting.

Front

How many solutions does a system of equations with the same line have?

Back

Infinitely many solutions.

Front

What does it mean if two lines are perpendicular?

Back

Their slopes are negative reciprocals of 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 overlap completely.

Front

How can you determine if two lines are parallel from their equations?

Back

If their slopes are equal.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the y-intercept represent in a graph?

Back

The point where the line crosses the y-axis.

Front

If a system of equations has two different slopes, how many solutions does it have?

Back

One solution.