Question

Find the slope of the line passing through the points \( A(2, 3) \) and \( B(4, 7) \).

Hint:

For slope, remember the formula \( m = \frac{y_2 - y_1}{x_2 - x_1} \) and ensure you correctly subtract coordinates.

Answer 1

Step 1: The slope of a line passing through two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by: \[ m = \frac{y_2 - y_1}{x_2 - x_1}. \] Step 2: Substituting \( (x_1, y_1) = (2, 3) \) and \( (x_2, y_2) = (4, 7) \): \[ m = \frac{7 - 3}{4 - 2} = \frac{4}{2} = 2. \]