Bot GPT 4-o mini To find the slope of a line given two points \((x_1, y_1)\) and \((x_2, y_2)\), you can use the formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
In your case, the points are \((12, 0)\) and \((0, -4)\). Let's assign:
- \((x_1, y_1) = (12, 0)\)
- \((x_2, y_2) = (0, -4)\)
Now we can plug these values into the slope formula:
\[ m = \frac{-4 - 0}{0 - 12} \]
Calculating the values:
\[ m = \frac{-4}{-12} \]
Simplifying this fraction:
\[ m = \frac{4}{12} = \frac{1}{3} \]
Thus, the slope of the line is \(\frac{1}{3}\).
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