Solving Special Systems of Linear Equations

Front

What does it mean if a system of equations has infinitely many solutions?

Back

The two equations have the same slopes and the same y-intercepts, meaning they represent the same line.

Front

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

Back

The graph consists of parallel lines that never intersect.

Front

Solve the system: -6x + y = 6 and -3x + y = 6. What is the solution?

Back

One Solution; (0,6)

Front

What does the graph of a system of equations with infinitely many solutions look like?

Back

The graph consists of the same line drawn over itself.

Front

Which two lines show a system with one solution of (0,1)?

Back

Red and Blue.

Front

What is the slope of a line in the equation y = mx + b?

Back

The slope (m) represents the steepness of the line.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis.

Front

What is a system of linear equations?

Back

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

Front

What does it mean for two lines to be parallel?

Back

Parallel lines have the same slope but different y-intercepts.

Front

What is the graphical representation of a system with one solution?

Back

The graph shows two lines that intersect at a single point.