Solutions to 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 if two lines intersect in a graph of a system of equations?

Back

It means the system has one unique solution.

Front

What are parallel lines in the context of systems of equations?

Back

Lines that never intersect and have the same slope but different y-intercepts.

Front

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

Back

The lines are parallel and will 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 do you determine if a point is a solution to a system of equations?

Back

Substitute the point's coordinates into both equations; if both are true, it's a solution.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you find the point of intersection of two lines graphically?

Back

By plotting both lines on the same graph and identifying where they cross.

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 (x=0).

Front

What does the term 'setup fee' refer to in a cost equation?

Back

A fixed charge that must be paid before any variable costs are added.