What is the slope of the line that passes through the points -6,1 and -6,-4 Write your answer in simplest form.
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) can be found using the formula:
m = (y₂ - y₁) / (x₂ - x₁)
In this case, the points are (-6, 1) and (-6, -4). Plugging these values into the formula:
m = (-4 - 1) / (-6 - (-6))
m = (-4 - 1) / (-6 + 6)
m = -5 / 0
The denominator is 0, which means that the line passing through these points is a vertical line. Since vertical lines have undefined slopes, there is no slope for this line.