Finding the slope of a line
We are going to say that (-1, 6) is the first point:
(x₁, y₁) = (-1, 6)
and that (4, 3) is the second:
(x₂, y₂) = (4, 3)
We want to find the change of each coordinate:
Δy = y₂ - y₁ = 3 - 6 = -3
Δx = x₂ - x₁ = 4 - (-1) = 4 + 1 = 5
Then Δy = - 3 and Δx = 5
We know that the slope, m, is given by:
Δy/Δx = -3/5
Answer: the slope of that line is -3/5