Find the Domain 8x-3y+12=0

Problem

8*x−3*y+12=0

Solution

1. Identify the type of equation. The equation 8*x−3*y+12=0 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 slope-intercept form.

−3*y=−8*x−12

3. Divide both sides by −3

y=8/3*x+4

4. Determine the domain. In a linear function of the form y=m*x+b there are no square roots of negative numbers, no denominators that can be zero, and no logarithms. Therefore, the input x can be any real number.

5. Express the domain in interval notation. Since x can be any real value, the domain is all real numbers.

Final Answer

Domain: *(−∞,∞)

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