To find the slope of a line from its graph, you generally calculate it by using the formula:
\[ \text{slope} (m) = \frac{\text{change in } y}{\text{change in } x} = \frac{y_2 - y_1}{x_2 - x_1} \]
However, since I can't see the graph you're referring to, I'll provide a brief explanation of how to determine the slope based on the options you've listed.
- If the line rises to the right (positive slope), the slope is a positive number.
- If the line falls to the right (negative slope), then the slope is negative.
- A slope of 0 means the line is horizontal, and an undefined slope means the line is vertical.
From your response choices:
- If you observe that the line rises steeply, options like 4 or 12 might be correct.
- If the line has a gentler slope, 2 or Start Fraction 1 over 2 End Fraction could be right.
- A negative slope would be represented by −12.
To choose the correct slope, you would measure the rise and run on the graph of the line. Without visual input, I recommend analyzing the graph to identify the correct option based on the line's steepness and direction. You can calculate the change in y and x from two points on the line to find the exact slope.
If you give more details about the line's graph, I can help you more specifically!
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