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For what value of $k$ are the lines $2x + 3y = 4k$ and $x - 2ky = 7$ parallel? Express your answer as a common fraction.

 Jul 10, 2019
 #1
avatar+790 
+6

use this link to find the answer

https://www.desmos.com/calculator/kqerjmjopq

 

 

Travisio

 Jul 10, 2019
 #2
avatar+7824 
+2

Slope of (2x + 3y = 4k) = -2/3

Slope of (x - 2ky = 7) = -1/(-2k) = 1/2k

\(\dfrac{1}{2k} = \dfrac{-2}{3}\\ -4k = 3\\ k = \dfrac{-3}{4}\)

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 Jul 10, 2019
 #3
avatar+790 
+6

dude ive got that on the link the same exact thing AND the lines to go with it

travisio  Jul 10, 2019

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