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The graph of the equation y=8 is a horizontal line through the y-intercept of 8. This is because since y=8, any point on the graph will have a y-coordinate of 8. This is why it is a horizontal line through (0,8).
The graph of y = x - 8 is a straight line. The slope of the line is 1, and it intersects the y-axis at the point y = -8.
When you plug in x = 0, you get y = 8. When you plug in x = 8, you get y = 0. So the graph of y = x - 8 (which is clearly linear, a straight line, because it only has x to the first power) is the graph of the straight line that goes through the points (0,8) and (8,0).
The line 8x-8=0 is the same as x=1. The graph looks like a vertical line that intersects the x axis at x=1.
The line is vertical on the graph. Its slope is infinite.