Question

Determine if the following is always, sometimes, or never true.
y = -1/5 x + 3 is a function.
explain please

Answer 1

First tell me what you think it is.

Answer 2

yes

Answer 3

@StupidGenius can we please teach and not just give away the answers?

Answer 4

well i think im suppose to graph it and do the vertical line test but i dont know how to graph equations:(

Answer 5

Let me give you a hint. You don't need to graph. Hint: If the exponent of y is 1, then it is always a function, except when it's y = ±√x.

Answer 6

I can give write you a proper definition of a function which you may find complicated at the level you are right now (I'm assuming you're in Gr. 9 or 10) but if you understand the hint, then you should be fine.

Answer 7

um there is not exponent

Answer 8

When you don't see an exponent, the exponent is an "invisible" 1.

Answer 9

oooooh so its a function

Answer 10

For example y means y to the exponent 1. Similarly x means x to the exponent 1. But in order for the equation to represent a function, only the exponent of y has to be 1. x can have any exponent. Understand?

Answer 11

wait so as long as its y=such and such then its a funcyion but if its y^7=such and such its nit a function?

Answer 12

kinda confused

Answer 13

You've got it! See now you've really earned a medal!

Answer 14

Why are you all of a sudden confused? I just gave you a medal and all! Now I'm confused!

Answer 15

I'm confused as to why you're confused.

Answer 16

but all my problems include y=such and such and not all of them are functions

Answer 17

Go ahead and post them.

Answer 18

I told you that y = ±√x is an exception.

Answer 19

i know this is gonna sound stupid but that is the onlhy ine i can find now

Answer 20

OK well then you need to trust me because FYI I am a teacher.

Answer 21

I wouldn't mislead you.

Answer 22

alrighty thanks for the help:)

Answer 23

No problem! Do you need anything else right now?

Answer 24

let me see

Answer 25

waity so the answer is always?

Answer 26

YES!

Answer 27

alright What is the slope of the graph for the equation y = -5x + 8?

Answer 28

y = mx + b is the equation of a line with slope m and y-intercept b.

Knowing this, what do you think the slope is for the equation of y = -5x + 8

Answer 29

-5..oh wait haha

Answer 30

YES! STOP DOUBTING YOURSELF AND HAVE MORE FAITH IN YOUR ABILITIES!!!!!!

Answer 31

its that i have had such a hard time with math for a such a long time..also im really tired.

Answer 32

No worries! Just believe in yourself!

Answer 33

question what is the equation for point slope form?

Answer 34

thanks:)

Answer 35

\[y -y _{1}=m(x -x _{1})\] is the slope-point form of the equation of a line where m is the slope of the line and\[(x _{1}, y _{1})\]is a point on the line.

Answer 36

oh ok so its like m=y-y1/x-x1

Answer 37

PERFECT!!!!! See! I wish the system allowed me to award you a second medal!

Answer 38

haha thanks:)

Answer 39

I hope you're feeling more confident!

Answer 40

i am thanks for all you help i have just one more question is the slope of a horizonal line 0?

Answer 41

Yes!

Answer 42

Then what is the slope of a vertical line?

Answer 43

undefined

Answer 44

can only be on my comp till9:30 cuss it has a block thing so i gotta get off but thanjk you so much for all your help:)i really appreciate it!!

Answer 45

WOW!!! You're smarter then you're letting on @EmmaH Am I being punked? LOL

Answer 46

no i just do research:)

Answer 47

and get help from nice people

Answer 48

got to go bye :)

Answer 49

No problem!! You're welcome! Let me know if you need anything else! Bye!