Systems of Equations: Graphing

Front

What does it mean if a system of linear equations has one solution?

Back

The two lines are intersecting lines.

Front

What is the solution (x, y) to a system of equations?

Back

It is the point where the lines intersect.

Front

If Jakob graphed two lines and found the solution to be (-3, -8), what does this represent?

Back

This point is where the two lines intersect on the graph.

Front

Back

One Solution.

Front

If Buzz graphed two lines and found the solution to be (1, -4), what does this indicate?

Back

This point is where the two lines intersect.

Front

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

Back

Parallel lines are lines that never intersect and have no solutions.

Front

What does it mean if two lines are the same line in a system of equations?

Back

It means there are infinite solutions since every point on the line is a solution.

Front

How can you determine the number of solutions in a system of equations?

Back

By analyzing the slopes and y-intercepts of the lines.

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 point of intersection in a system of equations?

Back

It represents the solution to the system.