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# For what value of are the lines and parallel? Express your answer as a common fraction.

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For what value of  are the lines  and  parallel? Express your answer as a common fraction.

Aug 7, 2022

#1
+113
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I got this in GeoGebra

Aug 7, 2022
#2
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Multiplying the second equation by 2 gives us $$2x - 4ky = 14$$

If the equations are parallel, they never intersect, meaning the system has no solutions.

So we have the equation $$3y = -4ky$$, and solving the equation gives us $$k = \color{brown}\boxed{-{3 \over 4}}$$

Aug 7, 2022
#3
+33151
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I'd do it as follows:

Aug 8, 2022