Graphing Systems of Equations

Front

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

Back

The two lines are intersecting lines.

Front

The solution (x, y) to a system of equations is the point where they...?

Back

Intersect.

Front

What type of slope does a horizontal line have?

Back

Zero slope.

Front

What is the solution to the system of equations represented by the point (6, 3)?

Back

(6, 3) is the solution.

Front

Which system of linear equations has no solution?

Back

Two parallel lines.

Front

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

Back

They have no points of intersection, hence no solution.

Front

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

Back

The two lines are the same line.

Front

How can you determine if a system of equations has one solution graphically?

Back

If the lines intersect at exactly one point.

Front

What is the slope of a line that goes down from left to right?

Back

Negative slope.

Front

What is the slope of a line that goes up from left to right?

Back

Positive slope.