Introduction to Systems

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 be parallel?

Back

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

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

How many solutions does a system of intersecting lines have?

Back

One solution.

Front

What is a coincidental line?

Back

Lines that lie on top of each other, having infinitely many solutions.

Front

What is the slope of a line?

Back

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

Front

What does it mean if a system has no solution?

Back

The lines are parallel and will never intersect.

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis.

Front

How can you determine if two lines are perpendicular?

Back

If the product of their slopes is -1.

Front

What is the graphical representation of a system of equations?

Back

A graph showing the lines of the equations, where intersections represent solutions.