Question

find the slope of the line that passes through point a (1, 2) and point b (2, 4), using $m = \frac{y_2 - y_1}{x_2 - x_1}$.

Explanation:

Step1: Identify coordinates

Let \( (x_1, y_1) = (1, 2) \) and \( (x_2, y_2) = (2, 4) \).

Step2: Apply slope formula

Slope \( m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 2}{2 - 1} \).

Step3: Calculate numerator and denominator

Numerator: \( 4 - 2 = 2 \), Denominator: \( 2 - 1 = 1 \).

Step4: Find slope

\( m = \frac{2}{1} = 2 \).

Answer:

2