Answer:
The correct answer is <em>f(x) </em>= 6<em>x</em> + 9 or <em>y</em> = 6<em>x</em> + 9.
Step-by-step explanation:
Independent variable are those variables which can select constant values by itself.
Dependent Variable are those variables which are dependent on other variable of the equation.
Now, consider the provided equation <em>y</em> - 6<em>x</em> - 9 = 0.
We need to write the provided equation in a function notation with <em>x</em> as the independent variable and <em>y</em> will work as a dependent variable.
Therefore, add 6 <em>x</em> and 9 to both the sides of equation.
<em>y</em> - 6<em>x</em> - 9 + 6<em>x</em> + 9= 6<em>x</em> + 9
<em>y</em> = 6<em>x</em> + 9
or
<em>f(x) </em>= 6<em>x</em> + 9
Hence, the correct answer is <em>f(x) </em>= 6<em>x</em> + 9 or <em>y</em> = 6<em>x</em> + 9.
