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Veronika [31]
3 years ago
7

En the line below.

Mathematics
1 answer:
igomit [66]3 years ago
8 0

Answer:

y + 1 = - \frac{2}{7} (x + 4)

Step-by-step explanation:

The equation of a line in point- slope form is

y - y₁ = m(x - x₁)

where m is the slope and (x₁, y₁) a point on the line

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 4, - 1) and (x₂, y₂ ) = (3, - 3)

m = \frac{-3+1}{3+4} = \frac{-2}{7} = - \frac{2}{7}

and (x₁, y₁ ) = (- 4, - 1), then

y - (- 1) = - \frac{2}{7} ( x - (- 4) ) , that is

y + 1 = - \frac{2}{7}(x + 4) ← equation of line

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