To determine the slope of a line using similar triangles, you can follow these steps:
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Identify two points on the line: Let's say you have two points \((x_1, y_1)\) and \((x_2, y_2)\).
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Calculate the rise and run:
- The rise (change in y) is calculated as \(y_2 - y_1\).
- The run (change in x) is calculated as \(x_2 - x_1\).
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Use the slope formula: The slope \(m\) of the line is given by: \[ m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1} \]
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Express in fraction form: Ensure that the rise and run are expressed as integers in the fraction.
For example, if the points are (3, 2) and (7, 5), the calculations would be:
- Rise: \(5 - 2 = 3\)
- Run: \(7 - 3 = 4\)
Thus, the slope \(m\) would be: \[ m = \frac{3}{4} \]
If you provide specific coordinates for the points, I can calculate the slope for you! Otherwise, based on the information given, the slope is found using the described steps.