Solve Systems by Graphing Flashcardizz

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 system of equations to have one solution?

Back

The lines representing the equations intersect at exactly one point.

Front

What does it mean for a system of equations to have no solution?

Back

The lines representing the equations are parallel and never intersect.

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

The lines representing the equations coincide, meaning they are the same line.

Front

How do you solve a system of equations by graphing?

Back

Graph each equation on the same coordinate plane and identify the point of intersection.

Front

What is the solution to the system of equations y = 1/2x + 2 and y = -3x + 9?

Back

(2, 3)

Front

What is the slope of the line represented by the equation y = 1/2x + 2?

Back

1/2

Front

What is the y-intercept of the line represented by the equation y = -3x + 9?

Back

9

Front

If two lines intersect at (4, -2), what does this indicate about the system of equations?

Back

The system has one unique solution.

Front

What is the graphical representation of a system with no solution?

Back

Two parallel lines that never meet.