SOLUTION: find the value of k given that the lies 3x+ky=5 and 4x= y +3 are parallel

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Question 881995: find the value of k given that the lies 3x+ky=5 and 4x= y +3 are parallel
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Parallel lines have the same slope
Put equations into the form
+y+=+m%2Ax+%2B+b+ and +m+ = slope
---------------------------------
(1) +3x+%2B+k%2Ay+=+5+
(2) +4x+=+y+%2B+3+
-------------------
(1) +k%2Ay+=+-3x+%2B+5+
(1) +y+=+-%283%2Fk%29%2Ax+%2B+5+
----------------------
and
(2) +y+=+4x+-+3+
--------------------
To make the slopes equal,
+-3%2Fk+=+4+
+k+=+-3%2F4+
----------------
check:
(1) +y+=+-%283%2Fk%29%2Ax+%2B+5+
(1) +y+=+-%283%2F%28-3%2F4%29%29%2Ax+%2B+5+
(1) +y+=+4x+%2B+5+
OK