Solving Systems of Equations 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 a solution?

Back

It means there is at least one set of values for the variables that satisfies all equations in the system.

Front

What does it mean if two lines intersect on a graph?

Back

The intersection point represents the solution to the system of equations.

Front

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

Back

The lines are parallel and will never intersect.

Front

What is the graphical representation of a system of equations?

Back

It is represented by lines on a coordinate plane.

Front

How do you determine the solution of a system of equations by graphing?

Back

By plotting the lines and identifying their intersection point.

Front

What are parallel lines?

Back

Lines that never intersect and have the same slope.

Front

What is the slope of a line?

Back

The slope is a measure of the steepness of a line, calculated as the rise over run.

Front

What does it mean for lines to be skew?

Back

Skew lines are lines that do not intersect and are not parallel, existing in different planes.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis.