Problem

Find the slope of the line passing through the points $(-5,3)$ and $(7,9)$.

Answer

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Answer

Final Answer: The slope of the line passing through the points \((-5,3)\) and \((7,9)\) is \(\boxed{0.5}\)

Steps

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

Step 2 ：We have the points \((-5,3)\) and \((7,9)\), so we can substitute these values into the formula to find the slope.

Step 3 ：Substituting the values into the formula, we get: \[ m = \frac{9 - 3}{7 - (-5)} \]

Step 4 ：Simplifying the above expression, we get: \[ m = 0.5 \]

Step 5 ：Final Answer: The slope of the line passing through the points \((-5,3)\) and \((7,9)\) is \(\boxed{0.5}\)

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