5.2 Graphing 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 a solution to a system of equations?

Back

A solution is an ordered pair (x, y) that satisfies all equations in the system.

Front

How do you determine if an ordered pair is a solution to a system?

Back

Substitute the x and y values into each equation to see if both equations are true.

Front

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

Back

The system has one unique solution.

Front

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

Back

The system has no solution.

Front

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

Back

The system has infinitely many solutions.

Front

What is the graphical representation of a system of equations?

Back

The graphs of the equations plotted on the same coordinate plane.

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable, and that expression is substituted into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

A method where equations are added or subtracted to eliminate one variable, making it easier to solve for the other.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.