Find the Domain -5x-8y=16

Problem

−5*x−8*y=16

Solution

1. Identify the type of equation. This is a linear equation in two variables, which represents a straight line in the Cartesian plane.

2. Solve for y in terms of x to express the equation as a function.

−8*y=5*x+16

y=−5/8*x−2

3. Analyze the resulting function ƒ(x)=−5/8*x−2 This is a polynomial function of degree 1.

4. Determine the constraints. Since there are no denominators containing x no square roots of negative numbers, and no logarithms, the function is defined for all real numbers.

5. State the domain in interval notation. The domain is all real numbers, from negative infinity to positive infinity.

Final Answer

Domain: *(−∞,∞)

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