Find the Domain 8x-7y=28

Problem

8*x−7*y=28

Solution

1. Identify the type of equation. The equation 8*x−7*y=28 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 function form y=ƒ(x)

−7*y=−8*x+28

y=8/7*x−4

3. Analyze the resulting function. The expression 8/7*x−4 is a polynomial of degree 1.

4. Determine the domain. Polynomial functions are defined for all real numbers because there are no denominators that can be zero and no square roots of negative numbers.

5. Express the domain in interval notation. Since x can be any real value, the domain is (−∞,∞)

Final Answer

Domain: *(−∞,∞)

Want more problems? Check here!