Problem

What is the slope of the line that passes through the points $(-5,6)$ and $(-9,-6)$ ? Write your answer in simplest form.
Answer Attempt 1 out of 2

Answer

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Answer

Final Answer: The slope of the line that passes through the points \((-5,6)\) and \((-9,-6)\) is \(\boxed{3}\)

Steps

Step 1 :The slope of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) can be calculated using the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Step 2 :In this case, the two points are \((-5,6)\) and \((-9,-6)\). So, we can substitute these values into the formula to find the slope.

Step 3 :The slope of the line that passes through the points \((-5,6)\) and \((-9,-6)\) is 3.0. However, the question asks for the answer in simplest form. Since 3.0 is a whole number, it is already in its simplest form.

Step 4 :Final Answer: The slope of the line that passes through the points \((-5,6)\) and \((-9,-6)\) is \(\boxed{3}\)

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