What is the slope of the line that passes through the points left bracket, minus, 6, comma, minus, 6, right bracket(−6,−6) and left bracket, minus, 9, comma, minus, 5, right bracket(−9,−5)? 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:
m = (y₂ - y₁) / (x₂ - x₁)
Plugging in the given points:
m = (-5 - (-6)) / (-9 - (-6))
m = (-5 + 6) / (-9 + 6)
m = 1 / (-3)
m = -1/3
Therefore, the slope of the line passing through the points (-6, -6) and (-9, -5) is -1/3.