Respuesta :

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

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