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