Answer:
The equation is 10x - 960y = 96
A = 10 , B = -960 , C = 96
Explanation:
* Lets explain the standard form of the linear equation
- The standard form of the linear equation is :
AX + BY = C , where A , B , C are constant
- A is a positive integer, and B, and C are integers
- The slope of the line is -A/B
- The y-intercept is C/A
- Lets solve the problem
∵ The equation of the line is 8y = 1/12 x - 0.8
- At first multiply the equation by 12 to make the coefficient of x integer
∴ (8 × 12) y = (1/12 × 12) x - (0.8 × 12)
∴ 96y = x - 9.6
- Multiply the two sides of the equation by 10 to make 9.6 integer
∴ (96 × 10) y = (1 × 10) x - (9.6 × 10)
∴ 960y = 10x - 96
- Add the two sides by 96
∴ 960y + 96 = 10x
- Subtract 960y from both sides
∴ 96 = 10x - 960y
∴ The standard form of the equation is 10x - 960y = 96, where
A = 10 , B = -960 , C = 96