-- Mark a tiny pencil dot on the x-axis at x=8.
-- Place your ruler on the paper, so that its edge is vertical (up-and-down),
and move it around until the edge passes through the tiny dot.
-- Using your pencil, draw a line segment along the edge of the ruler, through
the tiny dot and as far in each direction ... up and down ... as you like, without
going off of the paper.
The line segment you drew is a part of the graph of the equation [ x = 8 ].
It's not possible to draw the complete graph. It's just more of the same line,
but the line "goes to infinity" and it can never stop.
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.
To graph them, you need to put them into the formula y=mx+b. If x+y=8 subtract x to get y=-x+8. 8 is the y-intercept and your line should be heading downward from left to right.
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).
92
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.
When y=4, x=8/5
The graph of [ x=8 ] is a vertical line through the point 8 on the x-axis. It never touches the y-axis, and has no y-intercept.
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.
3
y=x+1 there for answer is 2
y equals x-4 plus 2 is the same as y = x-2. You just translate the graph of y=x, 2 units to the right, OR 2 down.