What is the slope of the line that passes through the points left bracket, 1, comma, minus, 9, right bracket(1,−9) and left bracket, 4, comma, minus, 7, right bracket(4,−7)? Write your answer in simplest form.
Using the formula for slope, m, given two points (x₁, y₁) and (x₂, y₂):
m = (y₂ - y₁) / (x₂ - x₁),
we substitute the given values:
m = (-7 - (-9)) / (4 - 1)
m = (-7 + 9) / (4 - 1)
m = 2 / 3
Therefore, the slope of the line is 2/3.