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To graph it:
Click "Y=" (top left of calculator)
go to the top left of the screen and click "x="
type in "8" and hit graph
Hope it helps :)
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.
They're exactly the same shape and size, but every point on the graph of the first one is 8 units directly below the corresponding point on the graph of the second one.
If x equals a constant number, the graph will be a vertical line. For example, the graph of x = 5 would be a vertical line that goes through the point (5,0). x equals 5 on every point along this lines.