System 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 to graph a system of equations?

Back

It means to plot the equations on a coordinate plane to find their intersection point.

Front

What is the solution to a system of equations?

Back

The point where the graphs of 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 solution of a system of equations graphically?

Back

By finding the point where the two lines intersect on the graph.

Front

What is the first step in graphing a linear equation?

Back

Identify the y-intercept and the slope.

Front

What is the slope of a line?

Back

The ratio of the rise (change in y) to the run (change in x).

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis.

Front

How do you find the intersection point of two lines?

Back

Set the equations equal to each other and solve for the variables.