System 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 to find a solution by graphing?

Back

It means to find the point where two lines intersect on a graph.

Front

What is the solution to a system of equations?

Back

The ordered pair that satisfies all equations in the system.

Front

What does it mean if two equations have the same slope but different y-intercepts?

Back

They are parallel and have no solution.

Front

What is an infinite number of solutions in a system of equations?

Back

It occurs when the equations represent the same line.

Front

How can you determine if a point is a solution to a system of equations?

Back

Substitute the point into each equation; if it satisfies both, it is a solution.

Front

What is the graphical representation of a system of equations?

Back

It is represented by the lines of the equations on a coordinate grid.

Front

What does it mean if two lines intersect at one point?

Back

The system has one unique solution.

Front

What is the significance of the y-intercept in a linear equation?

Back

It is the point where the line crosses the y-axis.

Front

What is the slope of a line?

Back

The rate of change of y with respect to x, often represented as 'm'.