If: 12 = 2y+x then y = -1/2x+6 So: y = 2x+4 and y = -1/2x+6 which means that they are perpendicular lines
They are parallel straight lines,
They are parallel lines.
Unfortunately, limitations of the browser used by WA means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals" etc. They cannot be parallel and so, since the question has been asked, as is clearly part of your homework, it must have an answer other than "random lines". So then, if you assume that the lines are y = 2x + 4 and x + 2y = 12 they are mutually perpendicular.
rearrange into standard form: first add 2y to each side:3x -2y + 2y = 12 + 2y --> 3x = 12 + 2yThen subtract 12 from each side: 3x - 12 = 12 + 2y - 12 ---> 3x - 12 = 2ynext divide both sides by 2: (3/2)x - (12/2) = (2/2)y(3/2)x - 6 = yso y = (3/2)x -6in y = mx + b, with m as slope and b as y-intercept, so slope(m) is 3/2 = 1.5also the line intersects the y-axis at y = -6
They are straight lines.
Perpendiculat straight lines.
perpendicular
If: 12 = 2y+x then y = -1/2x+6 So: y = 2x+4 and y = -1/2x+6 which means that they are perpendicular lines
It is not one, but they are two perpendicular lines.
They are parallel straight lines,
If you mean: 3x-2y = -2 and 6x-4y = 0 then they are parallel lines having the same slope or gradient of 1.5
perpendicular JEW
They are parallel lines.
parallel
They are straight lines. They are positively inclined. They have the same gradient.
If you mean: y = 2x and 2y = -x+4 then they are positive and negative straight line equations