Find the Domain -3x+4y=16

Problem

−3*x+4*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.

4*y=3*x+16

y=3/4*x+4

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

4. Determine the restrictions. Since there are no denominators containing x and no even roots, the variable x can take any real number value.

5. State the domain in interval notation. The domain of any non-vertical linear function is all real numbers.

Final Answer

Domain: *(−∞,∞)

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