Find the Domain 2x-3y=12

Problem

2*x−3*y=12

Solution

1. Identify the type of equation. The equation 2*x−3*y=12 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.

−3*y=−2*x+12

3. Divide both sides by −3

y=2/3*x−4

4. Determine the domain. In a linear function of the form y=m*x+b the independent variable x can be any real number because there are no square roots of negative numbers, no logarithms of non-positive numbers, and no denominators that could equal zero.

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

Final Answer

Domain: *(−∞,∞)

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