Question

what is the slope of the line that passes through the points (10, 6) and (6, 6)? write your answer in simplest form.

Explanation:

Step1: Recall 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 coordinates

Let \( (x_1, y_1)=(10, 6) \) and \( (x_2, y_2)=(6, 6) \).

Step3: Substitute into formula

Substitute \( y_2 = 6 \), \( y_1 = 6 \), \( x_2 = 6 \), and \( x_1 = 10 \) into the slope formula: \( m=\frac{6 - 6}{6 - 10} \).

Step4: Simplify numerator and denominator

The numerator \( 6 - 6 = 0 \), and the denominator \( 6 - 10=-4 \). So \( m=\frac{0}{-4}=0 \).

Answer:

\( 0 \)