Graphing Systems of Equations

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 at one point on a graph?

Back

The system has one unique solution.

Front

What does it mean if two lines are parallel on a graph?

Back

The system has no solution.

Front

What does it mean if two lines overlap completely on a graph?

Back

The system has infinitely many solutions.

Front

How do you find the solution to a system of equations graphically?

Back

By identifying the point(s) where the lines intersect.

Front

What is the solution to the system of equations y = 2x + 1 and y = -x + 4?

Back

(1, 3)

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

3

Front

What is the y-intercept of the equation y = -2x + 5?

Back

5

Front

How can you determine if a point is a solution to a system of equations?

Back

By substituting the point's coordinates into both equations.

Front

What is the graphical representation of the equation x = 4?

Back

A vertical line at x = 4.