## anonymous one year ago What is the equation of the line that passes through the points (–12, –8) and (–17, –16)? (no image)

1. anonymous

you need the slope first do you know how to find it?

2. anonymous

3. anonymous

is it mx+b ?

4. anonymous

no you need slope, which is $$m$$

5. anonymous

find it via $m=\frac{y_2-y_1}{x_2-x_1}$

6. anonymous

which in your case is $m=\frac{-16-(-8)}{-17-(-12)}$

7. anonymous

so 8 over 6? which is 4 over 3?

8. anonymous

i get $$\frac{8}{5}$$

9. anonymous

next step is $y-y_1-m(x-x_1)$

10. anonymous

you can use either point

11. anonymous

so I can use 5?

12. anonymous

$y+8=\frac{8}{5}(x+12)$will do

13. anonymous

no not 5, you have to use $$m=\frac{8}{5}$$

14. anonymous

ooh okay, I understand

15. anonymous

then depending on the form you want, you can solve $y+8=\frac{8}{5}(x+12)$ for $$y$$

16. anonymous

y= 8 + 12 ..? i think I did that right

17. anonymous

lets go slow

18. anonymous

alrighty

19. anonymous

$y+8=\frac{8}{5}(x+12)$ as an x and a y in it they are the x and y in your equation $y=mx+b$

20. anonymous

if you want to solve $y+8=\frac{8}{5}(x+12)$ for $$y$$ to get $y=mx+b$ you need two steps

21. anonymous

a) distribute the $$\frac{8}{5}$$ on the right then b) subtract $$8$$ from both sides

22. anonymous

let me know if you can do that

23. anonymous

So 12-8 is 4, that's all I got so far

24. anonymous

again lets back up

25. anonymous

step one is to distribute on the right i.e. distribute here $\frac{8}{5}(x+12)$

26. anonymous

by the distributive law, $\frac{8}{5}(x+12)=\frac{8}{5}x+\frac{8}{5}\times 12$

27. anonymous

or$\frac{8}{5}x+\frac{96}{5}$

28. anonymous

so now we have $y+8=\frac{8}{5}x+\frac{96}{5}$ now subtract $$8$$

29. anonymous

Would I subtract 8 from 96 over 5?

30. anonymous

$y=\frac{8}{5}x+\frac{96}{5}-8$ right

31. anonymous

compute $\frac{96}{5}-8$

32. anonymous

I got 11.2

33. anonymous

as a decimal yes

34. anonymous

you want decimal answer you would have $y=1.6x+11.2$

35. anonymous

fraction answer $y=\frac{8}{5}x+\frac{56}{5}$

36. anonymous

you have choices or you just need some answer?

37. anonymous

I have choices and most of them have 8/5 in them but they also have 8/5 +(17)

38. triciaal

|dw:1439056005643:dw| I have the same solution carefully read the choices