Retake #6 on Graphing Systems of Linear Equations

Buzz graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-1, 4)
• (1, -4)
• (-4, 1)
• (4, -1)

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

How many solutions does the systems of equations below have?

y = 3x - 6

y = 3x + 8

• Infinite Solutions

• No solutions

• One Solutions

• Two Solutions

How many solutions does the systems of linear equations have below.

y = 4x - 1

y = 4x - 1

• Infinite Solutions

• No Solutions

• One Solution

• Two Solutions

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

• Parallel lines
• the same line 
• Intersecting lines

A system of linear equations is... 

• Math Magic
• One Equation
• Always more than 2 equations
• A set of 2 or more equations

Which system of linear equations below has one solution?

• y = 3x - 1

  y = 2x + 6

• y = -5x

  y = -5x + 1

• y = 1/3x + 9

  y = 1/3x + 9

• y = -6x

  y = -6x

The solution (x, y) to a system of equations is the point where they ?

• Run off the graph

• Don't touch

• Intersect

• Exist

This system has _____ solutions

• No

• One

• Two

• Infinitely many

If a system of linear equations has infinitely many solutions, what does this mean about the two lines? 

• Intersecting lines
• Same line
• Parallel lines
• No line