1. anonymous

2. anonymous

3. anonymous

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

4. anonymous

I think xP

5. anonymous

k you wanna give another one a try?

6. anonymous

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

7. anonymous

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. anonymous

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

9. anonymous

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. anonymous

ok hold on let me solve it

11. anonymous

so it would be 5?

12. anonymous

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

13. anonymous

yes... :)

14. anonymous

ok can you help with #2?

15. anonymous

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

16. anonymous

25 and 6????

17. anonymous

18. anonymous

rate of change is 25/6? right?

19. anonymous

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. anonymous

correct... :)

21. anonymous

cool! can you help with more??

22. anonymous

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