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Line AA passes through the points (6,30)(6,-30) and (2,10)(-2,10). Line BB passes through the points (4,28)(-4,28) and (2,2)(2,-2). 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 (6,30)(6,-30) and (2,10)(-2,10). Line BB passes through the points (4,28)(-4,28) and (2,2)(2,-2). 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 (6,30)(6, -30) and (2,10)(-2, 10).
  2. Write equation of Line A: Write the equation of Line A using the point-slope form.
  3. Calculate slope of Line B: Calculate the slope of Line B using the points (4,28)(-4, 28) and (2,2)(2, -2).
  4. Write equation of Line B: Write the equation of Line B using the point-slope form.
  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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