The line y = -4x is parallel to the given line.
A straight line is an endless one-dimension figure that has no width. It is the combination of the infinite number of points joint on both sides of points.
Given
The line [tex]3y + 12x = 6\\[/tex] can be written as [tex]y = -4x + 2[/tex]
To find
The equation of the line which is parallel to the given line.
we know the equation of the line is given by y = mx + c
where m is slope and c is constant.
The slope of a parallel line and given line must be the same that is -4.
Then, line y = -4x + c
Let the line is passing through the origin (0,0)
[tex]y = -4x + c\\0 = -4*0+c\\c=0[/tex]
Then the equation of line become y = -4x
Thus, the line y = -4x is parallel to the given line.
More about the straight-line link is given below.
https://brainly.com/question/4695375
