Find the Domain y-4=8/3*(x-3)

Problem

y−4=8/3*(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. Solve for y to express the equation in slope-intercept form. Add 4 to both sides of the equation.

y=8/3*(x−3)+4

3. Distribute the fraction into the parentheses.

y=8/3*x−8+4

4. Simplify the constant terms.

y=8/3*x−4

5. Determine the domain by checking for restrictions. Since the equation is a polynomial of degree 1 (a linear function), there are no denominators containing x that could be zero and no square roots of negative numbers.

6. Conclude that the function is defined for all real numbers.

Final Answer

Domain:(−∞,∞)

Want more problems? Check here!