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5 July, 03:34

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

0
Answers (2)
  1. 5 July, 04:24
    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;
  2. 5 July, 04:37
    0
    E because the slope is opposite
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