Chapter 6 Review

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

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

Back

The graph of the equations represents parallel lines.

Front

Solve the system: 8x + 4y = 12 and y = -2x + 3

Back

Infinitely many solutions.

Front

Solve the system: 7x - 2y = 6 and x - 2y = -6

Back

(2,4)

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed.

Front

What are parallel lines?

Back

Lines that never intersect and have the same slope.

Front

What are intersecting lines?

Back

Lines that cross at one point, indicating a unique solution.

Front

What is the slope of a line?

Back

The ratio of the rise (change in y) to the run (change in x).

Front

What does it mean if two lines are skew?

Back

They are non-parallel lines that do not intersect and exist in different planes.

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.