Solving Systems by Graphing

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 solve a system of equations by graphing?

Back

It means to find the point(s) where the graphs of the equations intersect.

Front

What is the solution to a system of equations?

Back

The point(s) (x, y) that satisfy all equations in the system.

Front

How can you tell if a point is a solution to a system?

Back

The (x,y) coordinates satisfy both equations.

Front

What does it mean if two lines intersect on a graph?

Back

It means there is one unique solution to the system of equations.

Front

What does it mean if two lines are parallel on a graph?

Back

It means there is no solution to the system of equations.

Front

What does it mean if two lines overlap on a graph?

Back

It means there are infinitely many solutions to the system of equations.

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 y with respect to x, often represented as 'm'.

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis, represented as 'b' in the equation y = mx + b.