## anonymous one year ago Fan for answer! The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 4x + 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). (6 points) Part B: Which function has a greater y-intercept? Justify your answer. (4 points)

1. anonymous

@saseal Can you help?

2. anonymous

You know how to find the equation of f(x)?

3. anonymous

Not really sorry... Is it m = y2 - y2 over x2 - x1 ?

4. anonymous

yes take 2 of the points and plug em into the formula $m=\frac{ y _{2} - y _{1} }{ x _{2} - x _{1} }$

5. anonymous

What do you mean when you say two points?

6. anonymous

Value of f(x) is your y

7. anonymous

so you have 3 points of the line here (-1,-5) , (0,-1) ,(1,3)

8. anonymous

Oh I understand what you are saying thank you, so I just plug all those in function by function right?

9. anonymous

yes

10. anonymous

OK give me a min

11. anonymous

you plug in the numbers into the formula for gradient

12. anonymous

just choose any 2

13. anonymous

Well I got one that is 0 - (-1) over -1 - (-5) that equals 4 would that be my slope?

14. anonymous

yea so the line equation we have now is $f(x) = 4x+c$

15. anonymous

now we can find the value of c by replace the value of f(x) and x

16. anonymous

Oh ok thank you so much for your help do you need anything?

17. anonymous

18. anonymous

Almost

19. anonymous

c is the y-intercept of the line

20. anonymous

It's given to you actually, look at x = 0 f(x) = -1

21. anonymous

Because: $4(0)+c=-1$

22. anonymous

ok ok

23. anonymous

I get it sorry I was stuck you need anything?

24. anonymous

Nah not really.

25. anonymous

Well thanks for all the help!

26. anonymous

You're welcome