1. Brandon_H

2. Brandon_H

The change is 10 because everytime x increases by 2 y increases by 10 and so on.

I think xP

5. Brandon_H

k you wanna give another one a try?

6. Brandon_H

Find the rate of change for each table, equation, or graph. How did you find the rate of change?

7. chihiroasleaf

rate of change has the same meaning as slope of a line or gradient, denoted by m slope = change in y / change in x or if we have two points (x1,y1) and (x2,y2) then the rate of change is $m=\frac{ y _{2}-y _{1} }{ x _{2}-x _{1} }$

8. Brandon_H

how does that help me solve the next one yo????

9. chihiroasleaf

for your first problem, consider that you have three points we can use any two points, I'll use the first two points (2,10) and (4,20) so we have x1 = 2, y1 = 10, x2=4, and y2=20 now, can you calculate the rate of change using the formula above? :)

10. Brandon_H

ok hold on let me solve it

11. Brandon_H

so it would be 5?

12. Brandon_H

right???????????????????

13. chihiroasleaf

yes... :)

14. Brandon_H

ok can you help with #2?

15. chihiroasleaf

it's similar I think..., let's make the graph looks better.. :) |dw:1354819288993:dw| can you find two points on the line?

16. Brandon_H

25 and 6????

17. Brandon_H

18. Brandon_H

rate of change is 25/6? right?

19. chihiroasleaf

a point in Cartesian coordinates is stated as (x,y) , the horizontal line is x-axis and the vertical line is y-axis, so the first point is (6,25) and the second one is (0,0) Now, what is the rate of change of the line? (use the previous formula)

20. chihiroasleaf

correct... :)

21. Brandon_H

cool! can you help with more??

22. Brandon_H

Write an equation in slope-intercept form, point-slope, or standard form for the line with the given information. Explain why you chose the form you used. a. Passes through (-1, 4) and (-5, 2) We will just start with A lol