Which two equations form a system with no solutions (same slope but different y intercept)? **Hint: You must write # 4 - #6 in y = mx + b format first.

Question

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2 points
Captionless Image
Option 1
Option 2
Option 3
Option 4
Option 5
Option 6

Answer 1

To determine which two equations form a system with no solutions, we need to identify equations that have the same slope (indicating they are parallel) but different y-intercepts. This characteristic means that the lines represented by these equations will never intersect.

Since I cannot see images or visualize diagrams, I can guide you on how to convert the equations to the slope-intercept form (y = mx + b) and analyze them accordingly.

1. Write each given equation in the form of y = mx + b, where:

   • m is the slope
   • b is the y-intercept.

2. Compare the slopes (m values) of the equations:

   • If two equations have the same slope (same m) but different y-intercepts (different b), then they represent parallel lines.

3. Select the pairs of equations that meet this criterion.

If you provide the specific equations from Options 1-6, I can help you convert them to slope-intercept form and identify the correct pair of equations.