systems of equations

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 cross.

Front

What is the solution to a system of equations?

Back

The point(s) where the equations intersect, representing the values of the variables that satisfy all equations.

Front

What are parallel lines?

Back

Lines in a plane that never meet; they have the same slope.

Front

What is the slope of a line?

Back

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

Front

What is the slope-intercept form of a line?

Back

Front

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

Back

It means the lines are parallel and do not intersect.

Front

What is the y-intercept of a line?

Back

Front

How can you determine if two lines are parallel from their equations?

Back

If they have the same slope but different y-intercepts.

Front

What is the graphical representation of a system of equations?

Back

It is represented by the graphs of the equations on a coordinate plane.