Linear Systems

Front

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

Back

Parallel lines.

Front

What is the solution of the system if the lines are the same?

Back

Many solutions.

Front

What is a solution of a linear system?

Back

The point where the systems intersect.

Front

What is the solution to this system: y = 2x + 2 and y = -x?

Back

(-2, 2).

Front

What does it mean if two lines intersect at a point?

Back

There is one solution.

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis.

Front

What is the slope of a line?

Back

The steepness of the line, calculated as rise over run.

Front

If two lines are parallel, how many solutions do they have?

Back

No solutions.

Front

What is the graphical representation of a linear equation?

Back

A straight line.

Front

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

Back

The lines are the same.