To determine the correct equation for the graph, we will analyze the given options in the slope-intercept form, which is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.
Here are the provided equations:
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\(y = 3x + 5\)
- Slope: 3
- y-intercept: 5
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\(y = \frac{1}{3}x + 6\)
- Slope: \(\frac{1}{3}\)
- y-intercept: 6
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\(y = 6x + \frac{1}{3}\)
- Slope: 6
- y-intercept: \(\frac{1}{3}\)
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\(y = 3x + 6\)
- Slope: 3
- y-intercept: 6
Without the graph to visually compare, I can help you interpret what the slope and y-intercept values indicate if you have specific coordinates or characteristics of the graph you are referring to. Based on the typical interpretation:
- If you see that the y-intercept is 5 when x = 0, the equation could be \(y = 3x + 5\).
- If the line passes through (0, 6), it could be \(y = \frac{1}{3}x + 6\) or \(y = 3x + 6\).
If you provide any specific points or features of the graph, I can help you more accurately determine which equation corresponds to it.
1 answer