The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 −9
0 −1
1 7
g(x) = 3x − 2
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). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)

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- anonymous

please help

- anonymous

computer the slope of f(x)

- anonymous

@jenny1994 computer?

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## More answers

- anonymous

compute*

- anonymous

@jenny1994 i don't know how to find the slope without the graph

- anonymous

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)
take any 2 points

- anonymous

so the first two on the table

- anonymous

so we have \((x_1,y_1)=(−1 −9)\\
(x_2,y_2) =(0, −1)\) plug and play

- anonymous

10?

- anonymous

8
You can also look at the table. y goes up by 8 units with every 1 x unit
if you want the work, |dw:1435690120022:dw|

- anonymous

oooh

- anonymous

do you know the slope of g(x)?

- anonymous

3/1 ?

- anonymous

or 3

- anonymous

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). (6 points)
right, so the question wants us to compare them. what does that mean?

- anonymous

just show that the slope of f(x) is bigger?

- anonymous

would i put the steps we did as the answer or just type 8>3

- anonymous

definitely put the steps, and show how you got the slope using the slope formula. otherwise you're going to lose points unnecessarily
then after that, put the slope of g(x) and then I guess it's enough to say 8>3
how about part B

- anonymous

okay thanks and same thing but with y-intercept?

- anonymous

so when you're given an equation of the form y=mx+b what is the y intercept?

- anonymous

also conceptually what IS the y intercept?

- anonymous

ok so the y intercept is the point where x=0
so when we have equations like \(y=5x+3\) the slope is 5 and the y-intercept is 3

- anonymous

so for f(x), you can just look at the table for when x=0 and find the y intercept

- anonymous

and for g(x) replace x with 0 and solve to find y

- anonymous

ooooh okok i understand it better

- anonymous

post what you get here so I can check your work

- anonymous

how do i do that

- anonymous

what do you mean?

- anonymous

how can i post my work

- anonymous

oh just type what you get

- anonymous

oooh okay give me a minute

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