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What is the value of a$ if the lines $2y - 2a = 6x$ and $y + 1 = (a + 6)x$ are parallel?

 May 23, 2019
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What is the value of a$ if the lines $2y - 2a = 6x$ and $y + 1 = (a + 6)x$ are parallel?

 

Put these in slope intercept form.......

 

2y - 2a = 6x          y + 1  = (a + 6)x

y - a  = 3x             y  =  (a + 6)x - 1

y = 3x + a

 

If these lines are parallel  then  the slopes  are equal which implies that

 

3 =  a + 6      subtract 6 from both sides

 

-3  = a

 

See the graph here : https://www.desmos.com/calculator/nk5b6mfkdu

 

 

cool cool cool

 May 23, 2019
edited by CPhill  May 23, 2019

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