x-4y=8 can be writeen as
-4y=-x+8
or
y=1/4x-2
This is the slope intercept form of the line. It tells us the graph has slope of 1/4 and y intercept of -2
You could graph the point (0,-2) and then go up 1 and over to the right 4.
Or you could note that if y=0
1/4x=2
and x=8
so the point (8,0) is on the line ( it is the x intercept).
Graph (8,0) and (0,-2) and connect the dots.
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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).
y=-5x+8 the slope is -5.
They are the same equation just written differently so they are both easy to graph.
10
No, y=8 is a fixed value. A linear equation would look something like y=x+8 - That would produce a straight line graph if the values of x & y were plotted against each other on a graph.