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When does a system of equations have no solutions?

• When the lines cross

• When slopes of the lines are different

• When the slopes are the same and the y-intercepts are different

• There is ALWAYS a solution sir!

Parallel lines have ____ solution(s).

• No

• One

• Many

Intersecting lines have _____ solution(s).

• No

• One

• many

Two equations that produce the same line have _____ solution(s).

• no

• one

• infinitely many

Is the function linear or nonlinear?

• Linear Function

• Nonlinear Function

How many solutions does this system of equations have?

• One Solution
• No solution
• Infinitely Many Solutions
• 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

What is the solution for the system:

 $y=\frac{1}{2}x+2$  
 $y=-x-1$  

• (-2, 1)

• (2, 3)

• (4, 5)

• (3, 4)
  
  

What is the solution to the equations below ?

y = 3x + 2

y = 3x - 5

• a. NO Solution because the slopes are the same.

• b. ONE Solution because the slopes are the same.

• c. MANY Solutions because the slopes are the same.

• d. No Solution because the y-intercepts are the same.

• a. Straight Lines

  because it is in the form:

  y = mx + b

• b. Intersecting Lines

  Different slope and different

  y-intercept

• c. Same Line

  same slope and same y-intercept when the 2nd equation is divided by 2.

• d. Parallel lines

  Same slope and Different y-intercept