Find the Domain 8x-2y=-8

Problem

8*x−2*y=−8

Solution

1. Identify the type of equation provided. The equation 8*x−2*y=−8 is a linear equation in two variables, which represents a straight line in the Cartesian plane.

2. Determine if there are any restrictions on the variables. In a linear equation of the form A*x+B*y=C there are no square roots of negative numbers, no denominators that could be zero, and no logarithms.

3. Analyze the possible values for x Since the equation is defined for all real numbers, x can take any value from negative infinity to positive infinity.

4. Express the domain in interval notation. The set of all possible input values for x is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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