Answer:
x + y = -2
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