A line passes through and is perpendicular to the line . What is the -intercept of this line?

Answer and explanation

Correct answer: A.

  1. Step 1: Rewrite as , so its slope is .
  2. Step 2: A perpendicular slope is . Use point-slope form: .
  3. Step 3: Then , so the -intercept is .
Answer
.
Why not the others: uses the parallel slope with the wrong orientation; and are sign errors when adding and .

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