Find the Domain 4x-2y=6

Problem

4*x−2*y=6

Solution

1. Identify the type of equation. The equation 4*x−2*y=6 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. Subtract 4*x from both sides.

−2*y=−4*x+6

3. Divide every term by −2 to isolate y

y=2*x−3

4. Determine the restrictions on the input variable x In the linear function y=2*x−3 there are no square roots of negative numbers, no logarithms of non-positive numbers, and no denominators that could equal zero.

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

Final Answer

Domain: *(−∞,∞)

Want more problems? Check here!