(0) watch Video What is the slope of the line that passes through the points \( (6,-5) \) and \( (-6,-5) \) ? Write your answer in simplest form.

The slope of a line between two points \((x_1, y_1)\) and \((x_2, y_2)\) is calculated using the formula: \[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \] For the points \( (6, -5) \) and \( (-6, -5) \), applying the formula gives us: \[ \text{slope} = \frac{-5 - (-5)}{-6 - 6} = \frac{0}{-12} = 0 \] This means the slope of the line is \(0\), indicating it’s a horizontal line. Now, here’s something fun: did you know that horizontal lines represent constant values for \(y\) across all \(x\) values? You could imagine them as a smooth ride on a flat road! No hills, no valleys—just a straight and steady journey! Also, it’s interesting to note that if the slope had been undefined (like in vertical lines), it would indicate a change in \(y\) while \(x\) remained constant, showing a completely different kind of relationship between the points! Wacky, right?