Find the Domain 4x-2y=2

Problem

4*x−2*y=2

Solution

1. Identify the type of equation. The equation 4*x−2*y=2 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. Subtract 4*x from both sides.

−2*y=−4*x+2

3. Divide both sides by −2 to isolate y

y=2*x−1

4. Determine the restrictions on the input variable x Since y=2*x−1 is a polynomial (specifically a linear function), there are no values of x that result in division by zero or the square root of a negative number.

5. Conclude that the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)

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