Solving Systems of Equations Graphically

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 two lines to intersect on a graph?

Back

It means that there is a unique solution to the system of equations represented by those lines.

Front

What is the graphical representation of a solution to a system of equations?

Back

The point where the lines representing the equations meet.

Front

What does it mean if two lines are parallel in a system of equations?

Back

It means there is no solution to the system, as the lines will never intersect.

Front

What is the term for a system of equations with infinitely many solutions?

Back

Dependent system.

Front

What is the term for a system of equations with no solutions?

Back

Inconsistent system.

Front

How can you determine the solution to a system of equations graphically?

Back

By finding the point of intersection of the lines on the graph.

Front

What does the solution (1, 2) represent in a system of equations?

Back

It represents the values of x and y that satisfy both equations.

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, indicating the value of y when x = 0.

Front

What is the slope of a line?

Back

The rate of change of y with respect to x, often represented as 'm' in the equation y = mx + b.