Math HELP!! 10 points for best answer!!!!

Explain how you can determine whether a point at (x,y) is above, below, on the line given by 2x-y=8 without graphing it. Give an example of each

Solve to get the equation in the common form of a line.
2x - y = 8
2x - y - 8 = 0
y = 2x - 8

Plug the x-value of the point into the line y = 2x - 8 to see if its y-value is greater, less than or equal to the y-value of the point on the line.

EXAMPLES
Case I: The point is above the line
Point = (5, 8)
Plug the x -value of the point in the line y = 2x - 8
y = 2(5) - 8 = 10 - 8 = 2
Point on line = (5, 2)

Since the y-value of the point is greater than the y-value of the point on the line, the point is above the line.

Case II: The point is on the line
Point = (8, 8)
Plug the x -value of the point in the line y = 2x - 8
y = 2(8) - 8 = 16 - 8 = 8
Point on line = (8, 8)

Since the y-value of the point is equal to the y-value of the point on the line, the point is on the line.

Case III: The point is below the line
Point = (20, 12)
Plug the x -value of the point in the line y = 2x - 8
y = 2(20) - 8 = 40 - 8 = 32
Point on line = (20, 32)

Since the y-value of the point is less than the y-value of the point on the line, the point is below the line.

Red