Question
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.
*
2 points
Captionless Image
Option 1
Option 2
Option 3
Option 4
Option 5
Option 6
*
2 points
Captionless Image
Option 1
Option 2
Option 3
Option 4
Option 5
Option 6
Answers
GPT-4o mini
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.
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.