Find the Domain y-4=3/5*(x-3)

Problem

y−4=3/5*(x−3)

Solution

1. Identify the type of equation provided. This is a linear equation in point-slope form, which represents a straight line in the Cartesian plane.

2. Analyze the expression for any restrictions. The domain of a function is the set of all possible input values (x for which the output (y is defined.

3. Check for operations that limit the domain, such as division by zero, square roots of negative numbers, or logarithms of non-positive numbers.

4. Determine that since the equation is a polynomial of degree 1 (linear), there are no such restrictions. The variable x can take any real number value.

Final Answer

Domain: *(−∞,∞)

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