An equation that defines y as a function of x is given. Rewrite the equation using function notation f(x).
-$14 x + 4 y = 4$
A) $f ( x ) = \frac { 7 } { 2 } x + 1$
B) $f ( x ) = \frac { 7 } { 2 } x - 1$
C) $f ( x ) = 14 x - 4$
D) $f ( x ) = - \frac { 7 } { 2 } x + 1$

Question

Quizplus · Accepted Answer

To rewrite the equation in function notation $f(x)$, solve for $y$ in terms of $x$. Starting with $14x + 4y = 4$, subtract $14x$ from both sides to get $4y = 4 - 14x$. Then, divide by 4 to solve for $y$, yielding $y = 1 - \frac{7}{2}x$. Thus, in function notation, this is $f(x) = -\frac{7}{2}x + 1$.

An Equation That Defines Y as a Function of X 14x+4y=414 x + 4 y = 414x+4y=4

An Equation That Defines Y as a Function of X $14 x + 4 y = 4$