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: \( m=\frac{-5-(-5)}{-6 - 6} \).

Step4: Simplify numerator and denominator

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

Answer:

\( 0 \)