What is the slope of the line that passes through the points left bracket, 8, comma, minus, 6, right bracket(8,−6) and left bracket, 8, comma, minus, 9, right bracket(8,−9)? Write your answer in simplest form.
The formula to find the slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by the formula:
slope = (y₂ - y₁) / (x₂ - x₁)
Using the given points (8, -6) and (8, -9), we have:
slope = (-9 - (-6)) / (8 - 8)
slope = (-9 + 6) / 0
The denominator of the fraction is 0, which is undefined. Therefore, the slope of the line passing through these two points is undefined.