What is the slope of the line that passes through the points -5,-9 and -5, -13 Write your answer in simplest form.
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by the formula:
slope = (y₂ - y₁) / (x₂ - x₁)
In this case, the points are (-5, -9) and (-5, -13). So, x₁ = -5, y₁ = -9, x₂ = -5, and y₂ = -13. Plugging these values into the formula, we get:
slope = (-13 - (-9)) / (-5 - (-5))
Simplifying this expression, we have:
slope = (-13 + 9) / (-5 + 5)
slope = -4 / 0
Since division by zero is undefined, the slope in this case is undefined.