Question

what is the slope of the line that passes through the points (2, 2) and (14, 2)? write your answer in simplest form.

Explanation:

Step1: Recall the slope formula

The slope \( m \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify the coordinates

Here, \( x_1 = 2 \), \( y_1 = 2 \), \( x_2 = 14 \), and \( y_2 = 2 \).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m=\frac{2 - 2}{14 - 2} \).

Step4: Simplify the numerator and denominator

The numerator \( 2 - 2 = 0 \), and the denominator \( 14 - 2 = 12 \). So, \( m=\frac{0}{12} = 0 \).

Answer:

\( 0 \)