posted by .

Consider the points (3, –1) and
(9, 2).

(a) State the midpoint of the line segment with the given endpoints.

(b) Find the distance between the points. Show some work. Give the exact answer (involving a radical), and also an approximation to three decimal places.

(c) Find the slope of the line passing through the two given points. Show some work.

  • Algebra -

    I will give you the formulas for the problems,

    for any two points (a,b) and (c,d)
    1. Midpoint = ((a+c)/2,(b+d)/2)
    2. Distance between the two points
    = √[(a-c)^2 + (b-d)^2]

    3. slope = (b-d)/(a-c)

    compare (a,b) and (c,d) with your given points and evaluate.
    Let me know what you get

  • Algebra -

    This has got to be in your text book!

    The midpoint is the average x and the average y

    Xav = (3+9)/2 = 6
    Yav = (-1+2)/2 = 1/2
    (6 , 1/2)

    d^2 = [(Y2-Y1)^2 + (X2-X1)^2 ]
    = [ 3^2 + 6^2 ]
    = [ 9 + 36 }
    = 45
    d = sqrt 45 = 3 sqrt 5

    slope = (Y2-Y1) / (X2-X1)
    I think you can carry that division out

  • Algebra -

    (x1 + x2)/2, y1 + y2)/2 =

    3+9/2 = 12/2 = 6

    -1+2/2 = 1/2 = .05

    This is what I got for the mid point. is this correct? I got 6 for the first set of numbers, and .05 for the second. How do I determine the mid point?

  • Algebra -

    I think I figured it out. The answer can contain a fraction along with whole numbers. So i guess the mid point would be (6,.05) correct?

  • Algebra -

    "Anonymous" already gave you the answer.
    why don't you just replace the values ?

    you started with ...

    ((x1 + x2)/2, (y1 + y2)/2) , notice I corrected your "bracket errors"
    = ((3+9)/2,(-1+2)/2)
    = (6,1/2)

    you had .05
    1/2 is .5 not .05

  • Algebra -

    oops I misplaced the decimal. So yea (6,0.5) is the solution I came up with.

  • Algebra -

    Now I will work on the distance and slope parts. Hopefully they will be correct to!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Geometry

    Prove that the tangents to a circle at the endpoints of a diameter are parallel. State what is given, what is to be proved, and your plan of proof. Then write a two-column proof. Hint draw a DIAGRAM with the points labeled. Can some …
  2. geometry

    User: Courtney Thompson In Course: Geometry V8 ( 2167) Instructor: Tracie Morgan -------------------------------------------------------------------------------- WARNING: You must not leave this exam form! If you try to click back …
  3. Algebra: Check please

    1. Find the distance between the pair of points. Round to the nearest tenth is necessary. (-13, -8) and (6, 17) a. 11.4 b. 12.1 c. 31.4 d. 23.7 is the answer c?
  4. Algebra

    Find distance between the two points and the midpoint of the line segment joining them (-1,1)and (-3,-2)
  5. Algebra

    Find the distance between the points and the midpoint of the line segment joining them (p,0) (q,0)
  6. calculus

    find the distance d (P_1 & P_2) between points P_1 and P_1. P_1=(-3,3) P_2=(1,5) Find the midpoint of the line segment joining the points P_1 and P_2. P_1=(1,1) P_2=(-3,3) Please show all work
  7. Geometry

    Find the coordinates of the midpoint of a segment having the given endpoints. Then find the distance between the endpoints. 1. G(0,0), H(-3,4) 2. A(-4,-4), W(-2,2) 3. N(5,2), K(-2,8)
  8. math

    find the distance between the points (-20,16) and (-15,19). also find the midpoint of the segment that joins the points. what is the distance?
  9. Geometry

    1) Explain how you can use a straightedge and a compass to construct an angle that is both congruent and adjacent to a given angle. 2) When constructing a perpendicular bisector, why must the compass opening be greater than the 1/2 …
  10. math

    1.A line segment on a number line has its endpoints at -9 and 6 find the coordinate of the midpoint of the segment. Answer choices are A.1.5 B.-1.5 C.2 D.-3 2.find the coordinate of the midpoint of HX given that H(-1,3) and X(7,-1). …

More Similar Questions