Question

what is the slope of the line that passes through the points (6, -5) and (-6, -5)? 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 \( (x_1, y_1)=(6, - 5) \) and \( (x_2, y_2)=(-6, - 5) \).

Step3: Substitute into formula

Substitute the values into the slope formula: \( m=\frac{-5 - (-5)}{-6 - 6} \).
Simplify the numerator: \( -5-(-5)=-5 + 5 = 0 \).
Simplify the denominator: \( -6 - 6=-12 \).
So \( m=\frac{0}{-12}=0 \).

Answer:

\( 0 \)