Question
Coordinate Proofs Practice Complete this assessment to review what you’ve learned. It will not count toward your grade. 3 of 53 of 5 Items Question Use the image to answer the question. Calculate the slope of a line that is perpendicular to the one shown in the graph. (1 point) m= Remaining Attempts : 3 Skip to navigation page 17 of 18 Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.
Answers
GPT-4o mini
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:
1. **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 \((x_2, y_2)\):
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
2. **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.
1. **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 \((x_2, y_2)\):
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
2. **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.
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