How do we rewrite -2y+5= -6x so that y is a function of x. Use Function Notation

Question

Please Help me! I dont understand this one and its due Monday. Function Notation is f(x).

Answer 1

Rewrite -2y+5= -6x so that y is a function of x. Use Function Notation.

 

-2y + 5 = -6x

 

Subtract 5 from both sides:

 

-2y = -5 -6x

 

Divide both sides by -2:

 

f(x) = y = 5/2 + 3x

Answer 2

Hi Tracy;

ANSWER TO YOUR SECOND QUESTION...

-2y+5= -6x

We need to isolate y such that x will be multiplied by its coefficient and added to the constant.  This is to produce the result of y.

Let's subtract 5 from both sides...

-5-2y+5= -6x-5

-2y=-6x-5

Let's divide both sides by -2...

(-2y)/-2=(-6x-5)/-2

y=3x+(5/2)

We will replace y with f(x)...

f(x)=3x+(5/2)

f(x) means function of x.

 

ANSWER TO YOUR FIRST QUESTION...

The y value of both points is the same...

y=-2

This is a straight horizontal line.

The slope is zero, NOT undefined.  It is NOT undefined because slope, by definition, is the change-of-y divided by the change-of-x, also known as rise-over-run.  The change-of-y is zero.  Henceforth, the numerator is zero.  The slope can only be characterized as undefined if the denominator, change-of-x, is zero.

The equation is...

y=-2