A line is parallel to and passes through . What is its equation?

Answer and explanation

Correct answer: B.

  1. Step 1: Parallel lines have the same gradient, so the line is .
  2. Step 2: Substitute : , so .
  3. Step 3: The equation is .
Answer
.
Why not the others: : This is the original line, which has a different -intercept and does not pass through . : This uses the point's coordinates as the gradient and intercept. : This is a perpendicular line, not a parallel one.

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