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August 1, 2014

August 1, 2014

Posted by **Kate** on Saturday, June 13, 2009 at 10:05am.

(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 -
**Reiny**, Saturday, June 13, 2009 at 10:16amI 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 -
**Anonymous**, Saturday, June 13, 2009 at 10:17amThis 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

so

(6 , 1/2)

d^2 = [(Y2-Y1)^2 + (X2-X1)^2 ]

= [ 3^2 + 6^2 ]

= [ 9 + 36 }

= 45

so

d = sqrt 45 = 3 sqrt 5

slope = (Y2-Y1) / (X2-X1)

I think you can carry that division out

- Algebra -
**Kate**, Saturday, June 13, 2009 at 10:28am(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 -
**Kate**, Saturday, June 13, 2009 at 10:33amI 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 -
**Reiny**, Saturday, June 13, 2009 at 10:37am"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 -
**Kate**, Saturday, June 13, 2009 at 10:42amoops I misplaced the decimal. So yea (6,0.5) is the solution I came up with.

- Algebra -
**Kate**, Saturday, June 13, 2009 at 10:45amNow I will work on the distance and slope parts. Hopefully they will be correct to!

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