Find the Domain 4x-3y=2

Problem

4*x−3*y=2

Solution

1. Identify the type of equation. The equation 4*x−3*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.

3*y=4*x−2

y=4/3*x−2/3

3. Analyze the resulting function ƒ(x)=4/3*x−2/3 This is a polynomial function of degree 1.

4. Determine the restrictions on the input x Since there are no denominators containing x no square roots of negative numbers, and no logarithms, x can be any real number.

5. State the domain in interval notation. The domain of any non-vertical linear function is all real numbers.

Final Answer

Domain: *(−∞,∞)

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