Question

The table below represents a linear function f(x) and the equation represents a function g(x)
X. F(x)
-1. -5. g(x)
0. -1. G(x) =4x+3
1. 3

Part A write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x)

part b which function has a greater y-intercept? Justify your answer

WILL GIVE MEDAL AND FOLLOW

Answer 1

@amistre64

Answer 2

@Squirrels

Answer 3

@omg1help

Answer 4

@mathmath333

Answer 5

If you guys can help that would be great

Answer 6

what have you come up with so far ..

Answer 7

I don't really get the question i know that you have to have
y1-y2
--------
X1-x2

Answer 8

thats called a slope formula when we are given at least 2 points of reference to work from

Answer 9

Yes I get that

Answer 10

which 2 reference points do you want to use?

Answer 11

It doesent matter which ever ones is the best

Answer 12

you have 3 to choose from ... im not making the choice for you

Answer 13

-1
-5

Answer 14

-1,-5 is one point

we need one more and this can work

Answer 15

-1,0

Answer 16

lets try that one as 0 , -1 just to keep things proper

Answer 17

ok now we simply need to define the parts to place them

say: -1 ,-5
x1 y1

and 0, -1
x2 y2

Answer 18

now what does the formula look like when we place them in it?

Answer 19

Ok

Answer 20

U still there?

Answer 21

im here, kinda biding my time until i see how you fill in the formula. ive already taken the extra effort to even label the parts for you.

Answer 22

-4 and -1?

Answer 23

I'm really not good at this and i only have 14 minutes

Answer 24

let me chk that, im assuming you got -4/-1

y1-y2
------
X1-x2


-5--1
------
-1-0

yep -4/-1 which just simplifies as a slpe of 4

Answer 25

Ok so what happens next?

Answer 26

write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x)

well, im no good at writing sentences so youll have to determine what we did there. slope for f = 4 and ... what is the slope for g?

Answer 27

G(x) = 4x+3!how would u find that slope

Answer 28

g is written in a particular form of a line equation called a slope intercept form ... it uses the slope and the y intercept to construct the equation

y = mx + b is the form. m is the slope value, and b is the y intercept

Answer 29

Ok so i dont know what to do i mean isn't ut all ready mx+b

Answer 30

its already in that form, so they simply want to know what the slope is. its the m part

Answer 31

4?

Answer 32

we determined the slope of f using the points this and that, and the slope formula. the slope of f is 4. the slope of g can be determine quite readily since it is in slope intercept format, the slope of g is 4. both f and g therefore have the same slope, a slope of 4.

Answer 33

that what i would attempt as a partA :) prolly meaningless in the grand scheme of things

Answer 34

So for part b the answer would be is that they have the same slope

Answer 35

part a

part b asks for intercepts values

Answer 36

what is your concept of a y intercept?

Answer 37

Oh wait sorry I'm thinking that thay have the same slope

Answer 38

So we already did part a

Answer 39

we just did part a .... talk about the slopes compare them and how you determined them

Answer 40

they do have the same slope yes

Answer 41

Ok great now part b

Answer 42

part b asks for intercepts values

what is your concept of a y intercept?

Answer 43

I'm not sure

Answer 44

would you say that the value of x for any point on the y axis is 0?

if so, then they y intercept of a line is simply the value when x=0

Answer 45

Yes

Answer 46

then for f and g, what are the values when x=0?

Answer 47

Well won't they have to be 0 to?

Answer 48

of course not ...

g = 4x + 3 ... when x=0, g is not 0

and the table has a value for f when x=0 .. and f is not 0

Answer 49

Oh ok

Answer 50

when x=0, f=?

when x=0, g=? notice the g is in slope intercept form so when we zero out mx, al thats left is the y intercept b

Answer 51

3 is for g

Answer 52

Right?

Answer 53

X. F(x)
-1. -5. g(x)
0. -1. G(x) =4x+3
1. 3

0,-1 4(0)+3 = 3
f g

yes

Answer 54

Ok so g(x) has a greater y-intercept?

Answer 55

indeed

Answer 56

and the justificaiton we already went thru ...

Answer 57

Thank you so much