Find the Domain y-4x=-23

Problem

y−4*x=−23

Solution

1. Identify the type of equation provided. The equation y−4*x=−23 is a linear equation in two variables.

2. Solve for y to express the equation in slope-intercept form. Add 4*x to both sides of the equation.

y=4*x−23

3. Analyze the resulting function. This is a polynomial function of degree 1 (a linear function).

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

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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