To determine the slope of a line that is perpendicular to another line shown in the graph, you'll first need to find the slope of the original line. Here's the general process to follow:
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Find the slope of the given line using its endpoints:
- Use the formula for the slope \( m \) of a line given two points \((x_1, y_1)\) and \((x_2, y_2)\): \[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
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Calculate the perpendicular slope:
- For any line with a slope \( m \), the slope of a line that is perpendicular to it is given by: \[ m_{\text{perpendicular}} = -\frac{1}{m} \]
If you can provide the coordinates of two points on the line from the graph, I can help you calculate the specific slopes. Otherwise, you would just follow the steps outlined above using the line shown in the graph.