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Line A passes through the points (6,1)(6,1) and (−4,6)(-4,6). Line B passes through the points (14,3)(14,3) and (−10,−9)(-10,-9). Which statement is true?\newlineChoices:\newline(A) Line A does not intersect line B.\newline(B) Line A intersects line B at exactly one point.\newline(C) Line A overlaps line B.

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Slopes of parallel and perpendicular linesright chevron icon

Full solution

Q. Line A passes through the points (6,1)(6,1) and (−4,6)(-4,6). Line B passes through the points (14,3)(14,3) and (−10,−9)(-10,-9). Which statement is true?\newlineChoices:\newline(A) Line A does not intersect line B.\newline(B) Line A intersects line B at exactly one point.\newline(C) Line A overlaps line B.
  1. Calculate slope Line A: Calculate the slope of Line A using the points (6,1)(6,1) and (−4,6)(-4,6).
  2. Calculate slope Line B: Calculate the slope of Line B using the points (14,3)(14,3) and (−10,−9)(-10,-9).
  3. Compare slopes Line A and Line B: Compare the slopes of Line AA and Line BB to determine their relationship.

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