SOLUTION: Find k so that the line through (7,2k) and (4,-3) is parallel to the line through (1,k+1) and (3,5).

Question 1150510: Find k so that the line through (7,2k) and (4,-3) is parallel to the line through (1,k+1) and (3,5).
Answer by ikleyn(52787) (Show Source): You can put this solution on YOUR website!
.


The slope of the first line is


    m1 =  = .


The slope of the second line is


    m2 =  = .


The line are parallel if and only if m1 = m2


     = .


To solve this equation, first cross-multiply; then simplify


    2*(2k+3) = 3*(4-k)

    4k + 6 = 12 - 3k

    4k + 3k = 12 - 6

    7k      = 6

     k      = .      ANSWER

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