Find the Domain x-4y=-8

Problem

x−4*y=−8

Solution

1. Identify the type of equation. The equation x−4*y=−8 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.

−4*y=−x−8

y=1/4*x+2

3. Analyze the resulting function ƒ(x)=1/4*x+2 This is a polynomial function of degree 1.

4. Determine if there are any restrictions. 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 set of all possible input values for x is (−∞,∞)

Final Answer

Domain:(−∞,∞)

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