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A nonvertical line divides the plane into

Correct answer: B. upper and lower half planes

  • A. left and right half planes
  • B. upper and lower half planes
  • C. four planes
  • D. None

Explanation

A nonvertical line divides the plane into upper and lower half planes. This is because any nonvertical line can be represented by an equation of the form \(y = mx + c\), where \(m\) is the slope of the line. Depending on the sign of \(m\), the line will divide the plane into upper and lower halves. If \(m > 0\), the line has a positive slope and separates the plane into upper and lower halves; if \(m < 0\), it has a negative slope and divides the plane into lower and upper halves.

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