Rotation 40: Systems of Equations by Graphing

Front

What is a solution to a system of equations graphically?

Back

The point or points where the lines intersect, what the lines have in common, or either a single point, infinite number of points, or no points.

Front

How many solutions does a system of equations have if the lines intersect at one point?

Back

One solution.

Front

Where do the lines y = 2x + 1 and y = -x - 1 intersect?

Back

(-2, 3)

Front

What happens when you graph the same equation twice?

Back

You will have infinitely many solutions.

Front

What is the solution to the system of equations: y = 2x + 3 and y = -x + 1?

Back

(4, -1)

Front

What does it mean if two lines are parallel in a system of equations?

Back

There is no solution.

Front

What is the graphical representation of a system of equations?

Back

It is represented by the intersection points of the lines on a graph.

Front

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

Back

It represents the solution to the system.

Front

How can you determine if a system of equations has infinitely many solutions?

Back

If the two equations represent the same line.

Front

What is the term for a system of equations with no solutions?

Back

Inconsistent system.