Systems With Parallel Lines

Lines in the same plane that do not intersect are called?

• Parallel Lines

• Intersecting Lines

• Coincident Lines

• Checkout Lines

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 image shows parallel lines in a system of linear equations?

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Which image shows a system of linear equations with no solutions?

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If a system of equations has no solution, what does the graph look like?

• intersecting lines

• parallel lines

• coincident lines

How many solutions will this system have? 

• No solution

• One Solution

• Two solutions

• Infinitely Many Solutions

Which statement below appears to be true based on the graph?

• The charge for a trip with a distance of 5 miles is $5 greater for Taxi 1 than for Taxi 2.

• The charge for a trip with a distance of 5 miles is $5 less for Taxi 1 than for Taxi 2.

•  The charge for a trip with a distance of 5 miles is $20 for both Taxi 1 and Taxi 2.

• The charge for a trip with a distance of 5 miles cannot be determined for either Taxi 1 or Taxi 2.

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. 

What is the solution?

• No solution

• (0, 2)

• (0, -4)

• (3, -3)

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.