Flashcard 6: System of linear equations

Front

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

Back

The two lines are intersecting lines.

Front

What does the graph of a system of equations with no solution look like?

Back

The graph consists of parallel lines.

Front

What is the constant of variation if y varies with x when y is 7 and x is 14?

Back

1/2

Front

What is the solution to the system of equations represented by the point (1, -1)?

Back

The solution is (1, -1).

Front

What is the solution to the system of equations represented by the point (-4, 4)?

Back

The solution is (-4, 4).

Front

What are the characteristics of parallel lines in a system of linear equations?

Back

Parallel lines never intersect and have no solutions.

Front

What is the graphical representation of intersecting lines in a system of equations?

Back

Intersecting lines cross at one point, indicating one solution.

Front

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

Back

The equations represent the same line.

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 it mean if two lines are skew?

Back

Skew lines do not intersect and are not parallel, existing in different planes.