Final answer:
To write y = -0.6x + 0.2 in standard form, multiply through by 10 to eliminate decimals, resulting in 10y = -6x + 2. Adding 6x to both sides gives 6x + 10y = 2, which is in standard form with integers.
Step-by-step explanation:
To write the equation y = -0.6x + 0.2 in standard form using integers, we must first transform it so that all terms involving variables will be on one side of the equation and the constant on the other side. As a reminder, the standard form is typically written as Ax + By = C, where A, B, and C are integers, and A is a positive integer.
First, we multiply through by 10 to eliminate decimals:
10y = -6x + 2.
Next, we add 6x to both sides to get:
6x + 10y = 2.
Finally, to adhere strictly to the standard form convention of having a positive A, whereas our current A value (the coefficient of x) is already positive, we can just rewrite the equation to complete the process:
6x + 10y = 2. This is the standard form of the given equation using integers.