Graphing System of Equations

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never intersect. They have the same slope but different y-intercepts.

Front

What does it mean if a system of equations has no solution?

Back

It means the lines represented by the equations are parallel and will never intersect.

Front

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

Back

It means the lines represented by the equations are the same line, overlapping each other.

Front

What is the solution to a system of equations?

Back

The solution is the point where the two lines intersect, represented as an ordered pair (x, y).

Front

If two lines intersect at one point, how many solutions does the system have?

Back

The system has one solution.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What does it mean if two lines are intersecting?

Back

It means they cross each other at one point, indicating a unique solution to the system of equations.

Front

What is a system of linear equations?

Back

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