Problem

Given the data points (2,5) and (6,14), find the slope of the line that passes through these points.

Answer

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Answer

Plugging in the given points into the formula, we get \(m = \frac{14 - 5}{6 - 2} = \frac{9}{4}\).

Steps

Step 1 ：First, recall that the formula for finding the slope between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \(m = \frac{y_2 - y_1}{x_2 - x_1}\).

Step 2 ：Plugging in the given points into the formula, we get \(m = \frac{14 - 5}{6 - 2} = \frac{9}{4}\).

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