Math 8 Unit 4b: Solving a System 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 for a system of equations to have one solution?

Back

The graphs of the equations intersect at exactly one point.

Front

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

Back

The graphs of the equations are parallel and never intersect.

Front

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

Back

The graphs of the equations are the same line, intersecting at every point.

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 = 2x + 1 and y = 4x - 1?

Back

(1, 3)

Front

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

Back

(2, 3)

Front

What do parallel lines indicate in a system of equations?

Back

They indicate that the system has no solution.

Front

What is the graphical representation of a system with infinitely many solutions?

Back

The same line represented by two equations.

Front

What is the slope of the line represented by the equation y = 3x + 4?

Back

3