An equation that defines y as a function of x is given. Rewrite the equation using function notation f(x).
-$$x + 8 y = 6$$
A) $f ( x ) = 8 x - 6$
B) $f ( x ) = \frac { 1 } { 8 } x + \frac { 3 } { 4 }$
C) $f ( x ) = - \frac { 1 } { 8 } x + \frac { 3 } { 4 }$
D) $f ( x ) = - x + \frac { 3 } { 4 }$

Question

Quizplus · Accepted Answer

To rewrite the equation in function notation $f(x)$, solve for $y$ in terms of $x$. Starting with $x + 8y = 6$, subtract $x$ from both sides to get $8y = 6 - x$, then divide by $8$ to isolate $y$, resulting in $y = -\frac{1}{8}x + \frac{3}{4}$. Thus, $f(x) = -\frac{1}{8}x + \frac{3}{4}$.

An Equation That Defines Y as a Function of X x+8y=6x + 8 y = 6x+8y=6

An Equation That Defines Y as a Function of X $x + 8 y = 6$