Question 666292
2x + 3y = 8
3y = -2x + 8
y = {{{-2/3}}}x + {{{8/3}}}
Slope is {{{-2/3}}}
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4x - Ky = 12
Ky = 4x - 12
y = {{{4/K}}}x - {{{12/K}}}
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Parallel line
{{{4/K = -2/3}}} 
cross multiply
4(3) = K(-2)
12 = -2K
{{{highlight_green(K = -6)}}} in a parallel line
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Perpendicular line
{{{4/K = 3/2}}}
cross multiply
4(2) = K(3)
8 = 3K
{{{highlight_green(K = 8/3)}}} in a perpendicular line
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