Find the Domain y-4=-2(x-2)

Problem

y−4=−2*(x−2)

Solution

1. Identify the type of equation provided. The equation y−4=−2*(x−2) is a linear equation in point-slope form.

2. Rewrite the equation in slope-intercept form by isolating y Distribute the −2 on the right side.

y−4=−2*x+4

3. Add 4 to both sides to solve for y

y=−2*x+8

4. Determine the domain. Since this is a linear function, there are no denominators containing variables and no even roots. The function is defined for all real numbers.

5. Express the domain in interval notation. The set of all real numbers is represented as (−∞,∞)

Final Answer

Domain:(−∞,∞)

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