What is the slope of the line that passes through the points , 1, minus, 1, (1,−1) and , minus, 8, minus, 7, (−8,−7)? Write your answer in simplest form
Let (x₁, y₁) = (1, -1) and (x₂, y₂) = (-8, -7). The formula for the slope of a line passing through two points is given by:
m = (y₂ - y₁) / (x₂ - x₁)
Plugging in the values:
m = (-7 - (-1)) / (-8 - 1)
m = (-7 + 1) / (-8 - 1)
m = -6 / -9
The fraction -6/ -9 can be simplified to:
m = 2/3
Therefore, the slope of the line that passes through the points (1, -1) and (-8, -7) is 2/3.