x - y = 4
x - y + 4 = 0
x + 4 = y
The graph is a straight line, with a slope of 1, passing through the point y=4 on the y-axis.
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There are no intercepts because the curve, xy = 4 is asymptotic. When x = 0 (where the y intercept would be) y is infinite, and conversely, when y = 0 x is infinite.
xy = 8 or y = 8/x
X = 4 is a vertical line, 4 units to the right of the y-axis.
When x = 4 is graphed in an xy plane, it is easy to see why a vertical line is formed. At every value of y, x = 4. Plot enough points like this on your graph and you will soon form a vertical line.
xy - 4