Solving System of Linear Equations by Graphing

Front

What does the graph of a system of equations with no solution look like?

Back

Parallel lines.

Front

How can you tell if a point is a solution to a system of equations?

Back

The (x,y) coordinates satisfy both equations.

Front

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

Back

The two lines are the same line.

Front

Why do parallel lines never intersect?

Back

They have the same slopes.

Front

What is a solution of a linear system?

Back

The point where the graphs intersect.

Front

What is the slope of a line?

Back

The steepness of the line, calculated as rise over run.

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis.

Front

What does it mean for two lines to be skew?

Back

They do not intersect and are not parallel.

Front

How can you graph a system of linear equations?

Back

By plotting each equation on the same coordinate plane and finding the intersection.

Front

What is the significance of the intersection point in a system of equations?

Back

It represents the solution to the system.