Solve Systems by Graphing

Front

What is a system of equations?

Back

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

Front

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

Back

It means there is no solution to the system because the lines never intersect.

Front

What is the solution to a system of equations?

Back

The point(s) where the graphs of the equations intersect.

Front

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

Back

It means there are infinitely many solutions because every point on the line is a solution.

Front

How can you determine if a system of equations has no solution by graphing?

Back

If the lines are parallel, they will never intersect, indicating no solution.

Front

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

Back

Two lines that intersect at exactly one point.

Front

What is the slope of a line?

Back

The slope is a measure of the steepness of a line, calculated as the rise over run.

Front

What does the y-intercept represent in a linear equation?

Back

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

Front

How do you graph a linear equation?

Back

You can graph a linear equation by plotting points that satisfy the equation and connecting them with a straight line.

Front

What is the difference between consistent and inconsistent systems?

Back

A consistent system has at least one solution, while an inconsistent system has no solutions.