Find the Domain 6X+8y=2

Problem

6*x+8*y=2

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 relation as a function y=ƒ(x)

8*y=−6*x+2

y=−6/8*x+2/8

y=−3/4*x+1/4

3. Determine if there are any restrictions on the input variable x Since the expression −3/4*x+1/4 is a polynomial (specifically a linear function), it is defined for all real numbers. There are no denominators containing x that could be zero and no square roots of negative values.

4. State the domain in interval notation. Since x can be any real number, the domain is (−∞,∞)

Final Answer

Domain:(−∞,∞)

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