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

Guest May 23, 2019

#1**+1 **

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

CPhill May 23, 2019