SOLUTION: Find k so that the line containing the points ​(-3​,k) and ​(6​,10​) is parallel to the line containing the points ​(5​,4​) and ​(1​,-3​).

Algebra ->  Functions -> SOLUTION: Find k so that the line containing the points ​(-3​,k) and ​(6​,10​) is parallel to the line containing the points ​(5​,4​) and ​(1​,-3​).      Log On


   

Question 1146611: Find k so that the line containing the points ​(-3​,k) and ​(6​,10​) is parallel to the line containing the points ​(5​,4​) and ​(1​,-3​).
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Make the slopes of the lines equal
+%28+10+-+k+%29+%2F+%28+6+-%28-3%29+%29+=+%28+4+-%28-3%29+%29+%2F+%28+5+-+1+%29+
+%28+10+-+k+%29+%2F+9+=+7+%2F+4+
+10+-+k+=+63%2F4+
+k+=+40%2F4+-+63%2F4+
+k+=+-23%2F4+
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check the math