9x2 - 6xy + y2 - 81 = (3x - y)2 - 81 = (3x - y - 9)*(3x - y + 9)
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This can be interpreted as a line in 2d space. There are an infinite number of solutions. More than likely your real question is: "How can 27y + 18x = 21 be written in standard slope-intercept form?"Same as 9y + 6x = 7 (divide both sides by 3).Solve for y:9y = 7 - 6xy = (7 - 6x) / 9, ory = (-2/3)x + 7/9We now have an eaquation of a line: slope = -2/3, y-intercept = 7/9Paste -2/3x + 7/9 into the calculator at http://www.coolmath.com/graphit/and click "Eval" to visualize it.