Question

Line A goes through the points (1, 5) and (-1, 9). Line B goes through the points (0, 2) and (4, -6). Which of the following statements is true?
A. Line A intersects line B at point (2, 2).
B. Line A never intersects line B.
C. More information is needed to determine whether or not line A intersects line B. D. Line A intersects line B at point (-1, 3).

Answer 1

B is correct. Explanation Below:
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Line A never intersects Line B, as they are parallel lines-the slopes are the same-and parallel lines never intersect. 
Line A's Slope: (9-5)/(-1-1) = -2
Line B's Slope: (-6-2)/(4-0) = -2
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Hope this helps!