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Line AA passes through the points (5,17)(5,17) and (3,9)(3,9). Line BB passes through the points (−1,−6)(-1,-6) and (4,14)(4,14). Which statement is true?\newlineChoices:\newline(A) Line AA does not intersect line BB.\newline(B) Line AA overlaps line BB.\newline(C) Line AA intersects line BB at exactly one point.

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Full solution

Q. Line AA passes through the points (5,17)(5,17) and (3,9)(3,9). Line BB passes through the points (−1,−6)(-1,-6) and (4,14)(4,14). Which statement is true?\newlineChoices:\newline(A) Line AA does not intersect line BB.\newline(B) Line AA overlaps line BB.\newline(C) Line AA intersects line BB at exactly one point.
  1. Calculate slope of Line A: Calculate the slope of Line A using the points (5,17)(5,17) and (3,9)(3,9).
  2. Find equation of Line A: Find the equation of Line A using the slope and one point (5,17)(5,17).
  3. Calculate slope of Line B: Calculate the slope of Line B using the points (−1,−6)(-1,-6) and (4,14)(4,14).
  4. Find equation of Line B: Find the equation of Line B using the slope and one point (−1,−6)(-1,-6).
  5. Compare equations of Line A and Line B: Compare the equations of Line A and Line B to determine their relationship.

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