Find the Domain 2x-4y=8

Problem

2*x−4*y=8

Solution

1. Identify the type of equation. The equation 2*x−4*y=8 is a linear equation in two variables, which represents a straight line in the Cartesian plane.

2. Solve for y to express the equation in slope-intercept form.

−4*y=−2*x+8

3. Divide both sides by −4

y=1/2*x−2

4. Determine the domain. In a linear function of the form y=m*x+b there are no restrictions such as division by zero or square roots of negative numbers. Therefore, the input x can be any real number.

5. Express the domain in interval notation. Since x can be any real value, the domain is all real numbers.

Final Answer

Domain: *(−∞,∞)

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