Final answer:
The equation 8x+9=10 represents a direct variation, and the constant of variation is 1/8.
Step-by-step explanation:
The equation 8x+9=10 represents a direct variation because it is in the form y=kx, where k is the constant of variation. To find the constant of variation, we need to isolate x on one side of the equation. Subtract 9 from both sides:
8x = 10 - 9
8x = 1
Divide both sides by 8:
x = 1/8
Therefore, the constant of variation is 1/8.