Problem

Given two points on a plane, A(2, 3) and B(5, 7), find the slope of the line segment AB.

Answer

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Answer

Substitute the values into the formula: \( m = \frac{7 - 3}{5 - 2} \).

Steps

Step 1 ：The formula for slope between two points (x1, y1) and (x2, y2) is given by \( m = \frac{y2 - y1}{x2 - x1} \).

Step 2 ：Substitute the given points into the formula. Let A be (x1, y1) and B be (x2, y2). So, x1 = 2, y1 = 3, x2 = 5 and y2 = 7.

Step 3 ：Substitute the values into the formula: \( m = \frac{7 - 3}{5 - 2} \).

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