Graphing System of Equations

Front

What is the solution to a system of equations?

Back

The point that the equations have in common, where the two lines intersect.

Front

How many solutions can a system of equations have?

Back

No solution, One solution, or Infinitely many solutions.

Front

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

Back

The lines representing the equations are parallel and never intersect.

Front

What is a system of equations?

Back

Two equations with two unknown variables.

Front

What is the graphical representation of a system of equations?

Back

The intersection points of the lines representing the equations.

Front

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

Back

The lines intersect at exactly one point.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

The lines coincide, meaning they are 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 first step in solving a system of equations by graphing?

Back

Graph each equation on the same coordinate plane.

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.