Respuesta :

Answer:

  x + y = -2

Step-by-step explanation:

When you are given the equation of a line in standard form (or close to it, as here), you can make the equation for a perpendicular line through a given point by ...

  • swap the coefficients of the variables and negate one of them
  • substitute the variable values at the given point to find the new constant

Here, if we make the left side of the equation be ...

  x + y =

we have done the first part of the above recipe. For the second part, we put the point values in for the variables:

  x + y = (-1) + (-1) = -2

The equation of the perpendicular line is ...

  x + y = -2

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