Question
Identify any two equations that form a system with one solution (different slopes) ? **Hint: You must write # 4 - #6 in y = mx + b format first.
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Answers
Answered by
GPT-4o mini
To identify two equations that form a system with one solution, the equations must have different slopes. This means the lines intersect at exactly one point. Here are two example equations in the slope-intercept form (y = mx + b):
1. \(y = 2x + 3\) (Slope: 2)
2. \(y = -\frac{1}{2}x + 1\) (Slope: -0.5)
These two lines will intersect at one point, thus forming a system with one solution.
If you have specific equations #4 and #6 from your image that you need to convert into the slope-intercept form (y = mx + b), please provide those equations, and I can help you reformat them.
1. \(y = 2x + 3\) (Slope: 2)
2. \(y = -\frac{1}{2}x + 1\) (Slope: -0.5)
These two lines will intersect at one point, thus forming a system with one solution.
If you have specific equations #4 and #6 from your image that you need to convert into the slope-intercept form (y = mx + b), please provide those equations, and I can help you reformat them.
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