Graphing Systems of Equations

Front

What happens when you graph the same equation twice?

Back

You will have infinite solutions.

Front

If a system of linear equations has one solution, what does this mean about the two lines?

Back

The lines are intersecting.

Front

Solve the system of equations by graphing: y = 1/2x + 2 and y = -3x + 9. What is the solution?

Back

(2, 3)

Front

What is the solution to the system of equations graphed by Buzz?

Back

(1, -4)

Front

Solve the following system by graphing: What is the solution? y = 2x and y = -x + 4.

Back

(4, 2)

Front

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

Back

They have no solutions.

Front

What is the graphical representation of a system of equations with infinite solutions?

Back

The lines overlap (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 slope of the line represented by the equation y = 3x + 1?

Back

3

Front

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

Back

5