SOLUTION: Find the value of k for which the segment with endpoints (2.1, 3.3) and (k, −3.2) is parallel to the segment with endpoints (−1, −2) and (1, 3).
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Question 1124695: Find the value of k for which the segment with endpoints (2.1, 3.3) and (k, −3.2) is parallel to the segment with endpoints (−1, −2) and (1, 3).
Found 2 solutions by Boreal, josmiceli:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
parallel lines have the same slope, and the segment has a slop of 5/2
the other line has a change of y of -6.5 (from right to left). The change in x has to be -2.6. That would make x be -0.5.
equations of both lines
y-3=2.5(x-1) or y=2.5x+0.5
y-3.3=2.5(x-2.1) or y=2.5x-1.95
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
( 2.1, 3.3 ) and ( k, -3.2 )
( -1, -2 ) and ( 1, 3 )
——————————————
Make the 2 slopes equal
Multiply both sides by
——————————-
Check:
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