## anonymous one year ago Which function has the greatest rate of change? A. 14x – 2y = 8 B. y = 6x – 5 C. x y −2 −7 −1 −2 0 3 D. A linear function that goes through point 1, 3 and point 0, negative 2

1. anonymous

2. butterflydreamer

rate of change means slope :) So you want to find the slope for each of the functions.

3. anonymous

Okay! Thank You! ⌒‐⌒

4. anonymous

So what would the answer be?

5. butterflydreamer

you're welcome :) Well can you tell me what you got as the slope for each of the functions?

6. welshfella

rearrange the functions to the form y = mx + b m will be your slope

7. welshfella

B is in that form already y = 6x - 5 so its slope = 6

8. anonymous

okay

9. anonymous

how do we solve a,c and d?

10. welshfella

well rearrange A to y = mx + b form

11. anonymous

Slope = 7

12. welshfella

yes now for C you need to see how y increases with unit increase of x as x goes from -2 to -1 y does from -7 to -2 so thats a slope of ?

13. butterflydreamer

you might want to use the slope formula: m (slope) = rise/ run $m = \frac{ y2 - y1 }{ x2 - x1 }$

14. welshfella

yes that will give you the slope from the points on the graph

15. welshfella

you can use that for option D

16. welshfella

for option C the slope is -2-(-7) / -1-(-2)

17. anonymous

-7 for C?

18. welshfella

no

19. welshfella

how mant units is it from -7 up to -2 ?

20. anonymous

5

21. welshfella

right and -2 to -1 is one unit slope = 5/1

22. welshfella

now to find the slope for D plug in the points (1,3) and (0,-2) into (x2,y2) and (x1,y1) into the formula for m that butterfly dreamer posted

23. anonymous

Thank You! :)

24. welshfella

yw

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