What is the slope of the line that passes through the points left bracket, 0, comma, minus, 4, right bracket(0,−4) and left bracket, 30, comma, minus, 9, right bracket(30,−9)? 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)
Substituting the given points, we find:
slope = (-9 - (-4)) / (30 - 0)
slope = (-9 + 4) / 30
slope = -5 / 30
Simplifying the fraction, we have:
slope = -1 / 6
Therefore, the slope of the line passing through the two points is -1/6.