Systems of Equations - Graphing

Front

What is a system of equations?

Back

A group of equations with the same variables.

Front

What does it mean if two lines in a system of equations are parallel?

Back

They have no solution because they never intersect.

Front

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

Back

There are infinitely many solutions.

Front

What is the solution to a system of equations?

Back

The point where the lines intersect.

Front

If a system of equations has one solution, what does this indicate about the lines?

Back

The lines intersect at exactly one point.

Front

What is the graphical representation of a system of equations?

Back

It is represented by lines on a coordinate plane.

Front

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

Back

The lines are parallel and do not intersect.

Front

How can you determine if a system of equations has infinitely many solutions?

Back

If the two equations represent the same line.

Front

What is the slope-intercept form of a line?

Back

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

Front

What is the significance of the y-intercept in a graph?

Back

It is the point where the line crosses the y-axis.