Consider the function represented by the equation y-6x-9=0. which answer shows the equation written in function notation with x as the independent variable?

f(x) = 6x + 9

Step-by-step explanation:

Given

y - 6x - 9 = 0

Express the equation with y as the subject

Add 6x + 9 to both sides

y = 6x + 9

To express in functional notation let y = f(x), hence

f(x) = 6x + 9

A.

Step-by-step explanation:

We have been given an equation . We are asked to write our given equation in function notation with x as the independent variable.

First of all, we will convert our given equation in slope-intercept form by separating y on one side of equation.

Now, we will replace with .

Therefore, our required function would be and option A is the correct choice.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.