Vocab - Systems of Equations

Front

What is the y-intercept?

Back

The point where the input is zero.

Front

What is the definition of linear equations?

Back

An algebraic equation that can be written in slope-intercept form.

Front

What is an infinite solution in a system of equations?

Back

A system of equations in which both equations are exactly the same.

Front

What is an inconsistent system?

Back

A situation where there is no solution that satisfies all of the equations in the system; this happens when lines are parallel.

Front

What is the definition of systems of equations?

Back

A set of two or more equations containing a set of common variables.

Front

What does it mean for a system of equations to be consistent?

Back

A system of equations that has at least one solution.

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane.

Front

What is the slope of a line?

Back

The rate of change of the y-coordinate with respect to the x-coordinate.

Front

How can you determine if two lines are parallel?

Back

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 graphs of the equations intersect.