Solving Systems of Equations 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 for two lines to intersect?

Back

It means they have a common solution, which is the point where they meet.

Front

What is the solution to a system of equations?

Back

The point or points where the equations intersect on a graph.

Front

What does it mean if two lines are parallel?

Back

They never intersect because they have the same slope.

Front

What is the slope of a line?

Back

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

Front

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

Back

If the lines are parallel, they will never intersect.

Front

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

Back

It means the two lines are the same line, overlapping each other.

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis.

Front

How do you graph a linear equation?

Back

Find the y-intercept, plot it, then use the slope to find another point.

Front

What is the difference between consistent and inconsistent systems?

Back

Consistent systems have at least one solution; inconsistent systems have no solutions.