Find the Domain 4x-y=-6

Problem

4*x−y=−6

Solution

1. Identify the type of equation. The given equation 4*x−y=−6 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.

y=4*x+6

3. Determine the constraints on the input variable x In a linear function of the form ƒ(x)=m*x+b there are no square roots of negative numbers, no divisions by zero, and no logarithms of non-positive numbers.

4. Conclude that the function is defined for all real numbers. Since x can take any real value, the domain is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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