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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.

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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