## anonymous one year ago The table below represents a linear function f(x) and the equation represents a function g(x): -1 -9 0 -1 1 7 g(x) g(x) = 3x - 2 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).

1. anonymous

i dont understand how to change that table into an equation. i know that the last numbers of the equation is - 1 because 0 times any number is 0 and then you get -1 because of you subtract 1

2. anonymous

To convert any table of data that represents only "linear function" then you have to know the general formula of any line which is known to be : \[y/f(x) = mx + c\] where m is the slope of that line while c is known as y-intercept .. the part that the line intercepts y-axis when x = 0 So now it is obvious that f(x) has the form mx+c

3. triciaal

a linear equation is of the form y = mx + b where m is the slope and b is the y value when x = 0 in the form of a table you are given the x and corresponding y value

4. anonymous

so do i plug them into the equation and solve?

5. triciaal

the slope of a line is the change in y divided by the corresponding change in x

6. triciaal

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7. anonymous

To get m U choose any two points from the given table and get the slope using the slope formula : slope = y2-y1 / x2-x1

8. anonymous

ohhhh

9. anonymous

so if i would use 1,7 and -1,9 would that work?

10. anonymous

And to get c U have to plug with any point with the values of x , y and m then you have an equation of one unknown which is c , then solve to get c and you then have the equation Let me know if U got it :)

11. anonymous

Yup, just choose "any" two points

12. anonymous

so i would get -2 over 2?

13. anonymous

so the slope is -2.

14. anonymous

and i plug in the slope to find c

15. triciaal

actually this question does not want the equation for f(x) it only asks to compare the slopes

16. triciaal

the higher the number the steeper the slope

17. anonymous

slope is not 2 btw :)

18. anonymous

ugh.

19. anonymous

stupid math

20. anonymous

thank you for being patient with me

21. triciaal

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22. anonymous

no problem, feel free to ask anytime :D

23. anonymous

i understand that but that equation you gave for me to find the slope is hard to understand. i had chosen two points and had gotten the wrong slope

24. triciaal

you made a mistake with the point used should be -9 try again

25. anonymous

oh wait i got it. its 8

26. triciaal

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27. anonymous

:0 thats what i did

28. anonymous

thank you ver much!

29. triciaal

so you still need to answer the question hope my drawing will help

30. anonymous

yeah i did. Thanks!

31. triciaal

you are welcome