Find the Domain 4x-3y=12

Problem

4*x−3*y=12

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. Determine if there are any restrictions. In a linear function of the form A*x+B*y=C there are no square roots of negative numbers, no denominators that could be zero, and no logarithms.

3. Solve for y to express it as a function of x

4*x−3*y=12

−3*y=−4*x+12

y=4/3*x−4

4. Conclude the domain. Since any real number x can be substituted into the equation to produce a valid real number y the domain is all real numbers.

Final Answer

Domain:(−∞,∞)

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