What is the slope of the line that passes through the points left bracket, 0, comma, minus, 6, right bracket(0,−6) and left bracket, 0, comma, minus, 5, right bracket(0,−5)? Write your answer in simplest form.
The slope of a line passing through two points (x1, y1) and (x2, y2) can be calculated using the formula:
slope = (y2 - y1) / (x2 - x1)
In this case, the two points are (0, -6) and (0, -5), so x1 = 0, y1 = -6, x2 = 0, and y2 = -5.
Plugging these values into the formula, we get:
slope = (-5 - (-6)) / (0 - 0)
slope = (-5 + 6) / 0
slope = 1 / 0
Since division by 0 is undefined, the slope of the line passing through the two points is undefined.