Graphs of System of Equations

Which system of linear equations is shown on the graph?

• y= 4x-2 and y=1/4x-2

• y=-1/4x-2 and y=-4x-2

• y=1/4x-2 and y=-4x-2

• y=-1/4x-2 and y=4x-2

The graphs of two linear equations are shown. What is the best estimate of the solution to the system of equations?

• (0, 2)

• (2, 0)

• (2, -2)

• (-2, -2)

• (-2, 2)

What is the solution to this system of linear equations?y - 3x = 0 and y = 3x

• The only solution is (0, 3).

• There is no solution.

• The only solution is (0, 0).

• There are infinitely many solutions.

The graphs of two linear equations are shown. What is the best estimate of the solution to the system of linear equations?

• (0, 3)

• (3, 0)

• (0, -3)

• (-3, 3)

• (-3, 0)

Solve the following system of equations by graphing:

• (4, -4)

• (-4, 4)

• no solutions

• (0, 0)

Solve the following system of equations by graphing:

• Infinite solutions

• (2, -2)

• (1, 0)

• (3, -4)

What is the number of solutions to the system of equations? (Notice there are two lines graphed one on top of the other.)

• No Solution

• Infinitely Many Solutions

• One Solution

• Two Solutions

Tauren graphed the two equations shown in the System of Equations. He discovered that the lines appeared in exactly the same location. What is the solution to this system of equations?

• (-7, -9)

• (-10, 5)

• No Solution

• Infinitely Many Solutions

Identify the y - intercepts of the given graphs of system of linear equation. y = 2x + 3 and y = -x -4

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions