What is the equation of the line that is perpendicular to - x + y = 7 and passes through (-1, - 1) ?

A.

-x + y = 2

B.

-x - y = 2

C.

x - y = 2

D.

-x - y = 0

E.

x + y = 0

We have y = x + 7; the slope of this line is m1 = 1;

Because the lines are perpendicular, we have m1 · m2 = - 1;

Then m2 = - 1;

The equation of the second line, which passes through (-1,-1) and have the slope m2 = - 1 is:

y - (-1) = (-1) (x - (-1));

y - 1 = (-1) (x + 1);

y - 1 = - x - 1;

y + x = 0;

The correct answer is E. x + y = 0;

E because the slope is opposite