Find the Domain 2x-3y=6

Problem

2*x−3*y=6

Solution

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

−3*y=−2*x+6

3. Divide both sides by −3

y=2/3*x−2

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

5. Express the domain in interval notation. Since x can be any value from negative infinity to positive infinity, the domain is (−∞,∞)

Final Answer

Domain: *(−∞,∞)

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