Graphing Systems of Equations

Front

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

Back

The two lines intersect at one point.

Front

What is the intersection point of the equations y = x and y = -x?

Back

(0, 0)

Front

What are the possible types of solutions for a system of equations?

Back

One Solution, No Solution, Infinitely Many Solutions

Front

What type of slope does a vertical line have?

Back

Undefined slope

Front

What is the solution to the system of equations y = 6x - 4 and y = -x + 3?

Back

(1, 2)

Front

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

Back

They have no points of intersection, hence no solution.

Front

What is the graphical representation of a system with infinitely many solutions?

Back

The two equations represent the same line.

Front

How can you determine the solution of a system of equations graphically?

Back

By finding the point where the two lines intersect.

Front

What is the slope of a horizontal line?

Back

Zero slope

Front

What does it indicate if two lines intersect at a single point?

Back

The system has one unique solution.