Question

Suppose we have a linear equation relating (y) and (x) defined by (3y + 9x = 18), where (x) is an independent variable and (y) is a dependent variable. Which of the following is a correct function notation representation of (y)?

A. (f(x) = -3x + 6)
B. (f(y) = -3y + 6)
C. (f(x) = 6x - 3)
D. (f(x) = 3x - 6)

Answer 1

The correct function notation representation of y for the linear equation 3y + 9x = 18 is f(x) = -3x + 6.

Step-by-step explanation:

The correct function notation representation of y for the linear equation 3y + 9x = 18 is f(x) = -3x + 6 (option A).

To obtain the function notation, we isolate y by subtracting 9x from both sides of the equation and then dividing by 3. This gives us y = -3x + 6.

This equation represents a linear relationship between y and x, where the coefficient of x is the slope of the line and the constant term is the y-intercept.