Systems of Equations 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 two lines to intersect on a graph?

Back

It means they have one solution, which is the point where they meet.

Front

What is the solution to a system of equations?

Back

The point (x, y) where the equations intersect.

Front

What does it mean if a system of equations has no solution?

Back

The lines are parallel and never intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

The lines are the same, meaning they overlap completely.

Front

How can you determine the number of solutions in a system of equations?

Back

By analyzing the slopes and y-intercepts of the lines.

Front

What is the slope of a line?

Back

The rate at which y changes for a change in 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 (0, b).

Front

How do you graph a linear equation?

Back

Find the y-intercept and use the slope to plot another point.

Front

What is the graphical representation of a system of equations?

Back

It is the graph of two or more lines on the same coordinate plane.