Perpendicular
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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