To determine whether the slope is positive or negative based on the given points (0,0) and (6,6), we can analyze the relationship between these two points.
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Identifying the Points:
- The first point is (0,0), which is located at the origin.
- The second point is (6,6), which is located in the first quadrant, where both x and y values are positive.
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Understanding Slope:
- The slope of a line is calculated using the formula: \[ \text{Slope} = \frac{y_2 - y_1}{x_2 - x_1} \]
- Here, \( (x_1, y_1) = (0, 0) \) and \( (x_2, y_2) = (6, 6) \).
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Calculating the Slope:
- Plugging the values into the formula: \[ \text{Slope} = \frac{6 - 0}{6 - 0} = \frac{6}{6} = 1 \]
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Interpreting the Slope:
- A slope of 1 means that as you move from left to right along the line, the y-value increases as the x-value increases. This indicates a positive relationship.
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Conclusion:
- Therefore, the slope is positive because the line increases as you move from left to right on the graph.
So, the correct response regarding the slope would be: The slope is positive because the line increases as you move from left to right on the graph.