Slope Intercept Systems of Equations

Intersecting 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

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

Which of the following systems of linear equations represent parallel lines?

• y = 2x - 3

  2y = 4x + 6

• y = x + 2

  y = 2x + 1

• y = -3

  x = -4

• y = 2x + 4

  y = 2x + 4

Which of the following systems of linear equations represent intersecting lines?

• y = 2x - 3

  2y = 4x + 6

• y = x + 2

  y = 2x + 1

• x = -3

  x = -4

• y = 2x + 4

  y = 2x + 4

Which of the following systems of linear equations represent coincidental lines?

• y = 2x - 3

  2y = 4x + 6

• y = x + 2

  y = 2x + 1

• y = -3

  x = -4

• y = 2x + 4

  y = 2x + 4

Which image shows parallel lines in a system of linear equations?

• 
• 
• 
• 

• Infinite number of solutions

• (0, 7)

• (-5, -7)

• (5, 7)

Parallel Lines never intersect because...

• they have the same slopes. 

• they have the same y-intercept.

• they have different slopes.

• they have different y-intercepts. 

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

How many solutions?

• 1 solution

• 2 solutions

• No solutions

• Infinite Solutions