SOLUTION: The slope of the line joining A (-2 , 6) and B (3 ,5) is equal to the slope of the line joining C (0 , 4) and D ( - 3, K).Find the value of K.

Algebra ->  Points-lines-and-rays -> SOLUTION: The slope of the line joining A (-2 , 6) and B (3 ,5) is equal to the slope of the line joining C (0 , 4) and D ( - 3, K).Find the value of K.      Log On


   



Question 958696: The slope of the line joining A (-2 , 6) and B (3 ,5) is equal to the slope of the line joining C (0 , 4) and D ( - 3, K).Find the value of K.
Answer by lwsshak3(11628) About Me  (Show Source):
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The slope of the line joining A (-2 , 6) and B (3 ,5) is equal to the slope of the line joining C (0 , 4) and D ( - 3, K).Find the value of K.
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slope of line AB: ∆y/∆x=(5-6)/(3-(-2))=-1/5
slope of line CD: ∆y/∆x=(k-4)/(-3-0)=(k-4)/-3
-1/5=(k-4)/-3
k-4=3/5
k=3/5+4
k=23/5