Linear Equations Two Variables

Coincident Lines in a system of linear equations have which of the following characteristics?

• Same Slope but Different Y-Intercepts

• Different Slopes but Y-Intercepts doesn't matter

• Same Slope Same Y-Intercept

• No Slopes and X-Intercepts

What is the solution to the system of equations?

• (2, 3)

• (3, -2)

• (-2, 3)

• (3, 0)

If a system of linear equations has infinite solutions, which of the following is NOT true?

• The graph forms the same line.

• The lines do not intersect.

• The lines have the same slope.

• The lines have the same y-intercept.

For the following systems, decide if there will be one solution, no solution, or infinitely many solutions. Use your Desmos graphing calculator to help you visualize.

• One Solution

  (Intersecting Lines)

• No solution

  (Parallel Lines)

• Infinitely many solutions

  (Same line)

A system of two simultaneous linear equations in two variables is inconsistent, if their graphs: 

• parallel

• coincident

• intersect at one point

• none of these

In the given graphical representation, the solution to the pair of linear equations is ______

• (3,2)

• (3,3)

• (2,3)

• (4,4)

The solution is where the lines...?

• End

• Hit the x-axis

• Intersect

• Hit the y-axis

This system has an infinite number of solutions, TRUE or FALSE?

• TRUE

• FALSE

The solution to this system is:

• No solution

• (0, 1)

• (0, -2)

• (4, 3)

This system has _____ solutions.

• one

• many

• no