Respuesta :

Answer:  y = -x - 1

Step-by-step explanation:

Use the Point-Slope formula: [tex]y - y_1=m_{\perp}(x-x_1)[/tex]   where

  • (x₁ , y₁) is the given point (0, -1)
  • [tex]m_{\perp}\ \text{is the opposite reciprocal slope of the given line}\implies m_{\perp}=-1[/tex]

Insert those values into the formula and solve for y:

y - (-1) = -1(x - 0)

y + 1 = -x

y      = -x - 1

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