## leslie096 2 years ago Indicate the equation of the given line in standard form. The line with slope and containing the midpoint of the segment whose endpoints are (2, -3) and (-6, 5).

1. Zale101

For the midpoint, we have to us this formula ((x1+x2)/2,(y1+y2)/2)

2. doulikepiecauseidont

Was the slope given? It loks like you forgot to add it or no?

3. leslie096

-4,6

4. leslie096

Wait where did you get 9 from? zale101

5. Zale101

oh i'm sorry lol

6. Zale101

So here we have ((2+(-6))/2,(-3+5)/2) =

7. leslie096

its ok i messed up too. it's 2, 3/2 or 7/2?

8. Zale101

((2+(-6))/2= -2 (-3+5)/2= 1

9. leslie096

oh ok. what's next?

10. Zale101

the slope is (change in y)/(change in x)

11. Zale101

or (y2-y1)/(x2-x1)

12. Zale101

So (5+(-3))/(-6+2) = ?

13. leslie096

averages?

14. Zale101

Do you know how to plug in the numbers into the formula's, like what i did here for example (5+(-3))/(-6+2) = ?

15. Zale101

solve this for me (5+(-3))/(-6+2) = ?

16. leslie096

sooo -3-5/2+6 = -8/8?

17. Zale101

which equals -1

18. leslie096

so then after that i just do y-y1= -1(x1-x. which is y+3=-1(x-5)?

19. Zale101

1 and -2 are the midpoints

20. leslie096

so (y-1)=-1(x=2)?

21. Zale101

this means the midpoint is (-2,1)

22. Zale101

x=-2 y=1

23. leslie096

so then what comes after finding the midpoint

24. Zale101

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25. Zale101

You are trying to find the midpoint of the endpoint points (2, -3) and (-6, 5).

26. leslie096

omg i forgot to put what the slope... I'm sorry lol slope=9/7

27. Zale101

|dw:1371861044750:dw|

28. Zale101

That's fine, but u need to keep in mind what's endpoint and what's midpoint

29. Zale101

midpoint means middle point endpoints means end of the line points

30. leslie096

i know what midpoints and endpoints are.

31. Zale101

Ok :)

32. Zale101

just making it clear for u

33. leslie096

ok. but what comes after we find the midpoint?

34. Zale101

Use this formula to find the the point-slope form of a line y - y1 = m(x - x1)

35. Zale101

so we should plug in the numbers y - 1 = (9/7)(x - -2)

36. Zale101

then simplify

37. satellite73

"The line with slope SOMETHING MISSING HERE and containing the midpoint of the segment whose endpoints are (2, -3) and (-6, 5)."

38. leslie096

Ohhhh! so its 9x-7y=-24

39. Zale101

@satellite73, i actually read the question wrong lol from where did u get 24? 7y - 7 = 9x + 18 7y = 9x + 25 9x - 7y = -25

40. Zale101

Hope i helped, sorry for taking your time

41. leslie096

its ok. thanks for the help! :)

42. Zale101

no problem :)