How do i find the slope of these data?

Question

anonymous · Answer

Time (s)               0.0    0.10    0.20    0.30    0.40   0.50   0.60
Position (cm[W])    0       25       50        75      75      75       0

anonymous · Answer

I tried this:

(0.60, 0.0)(0.50, 75 cm)

m = 0.0 - 75 cm
       -----------
       0.60s - 0.50s
     =  -75 cm
         --------
           0.1s
     = -750 cm/s

amistre64 · Answer

slope between any 2 points (a1,a2) and (b1,b2) is simply the ratio of the differences between them:
$$\frac{a2-b2}{a1-b1}$$

anonymous · Answer

yup, it is. But somehow I feel like my answer is wrong.

amistre64 · Answer

no, its good; the math dont lie

amistre64 · Answer

at that end its a negative slope since it goes from high to low

anonymous · Answer

also, if I want to find the slope from 0.0s - 0.30s how can I put the coordinates together/

amistre64 · Answer

same way; the formula for slope doesnt change simply becasue the number change

anonymous · Answer

also

amistre64 · Answer

$$\frac{change.in.position}{change.in.time}$$

anonymous · Answer

I tried to find the slope from 0.0 s - 0.30s, and I did this:

(0.30s, 0.0s)(0.30s, 75 cm)

m = 75 - 0.0
        -------
       0.30 - 0.30
    = n/a

amistre64 · Answer

time changes from 0.0 to 0.3;  not from 0.3 to 0.3

amistre64 · Answer

.3-0 = .3 for your denominator

anonymous · Answer

I tried the y2-y1/x2-x1

anonymous · Answer

and if I plot (0.30, 0.0) (0.30, 75)

amistre64 · Answer

you tried yes; but you simply inserted the numbers wrong.  keep an eye on that :)

amistre64 · Answer

your first plot is (0,0) NOT .. (.3,.3)

amistre64 · Answer

well, i typoed that up dint i

anonymous · Answer

ohhh, noo D;

amistre64 · Answer

your first plot is (0,0) NOT .. (.3,0)

thats better lol

anonymous · Answer

why will my first plot be (0,0)

amistre64 · Answer

at time = 0, what is your position?

amistre64 · Answer

"if I want to find the slope from 0.0s - 0.30s how can I put the coordinates together"

what is the (t,P) at 0?

what is the (t,P) at .3?

anonymous · Answer

ohhh...

anonymous · Answer

so the t = 0.0s and position is 0 cm
t - 0.30s and position is 75 cm

amistre64 · Answer

( t  ,  P)
 (.3 , .7)
-(0 ,  0 )
-------
   .3 , .7  ; slope = P/t  = .7/.3 = 7/3

amistre64 · Answer

correct

anonymous · Answer

I am confused with what you wrote previously D:

amistre64 · Answer

ugh ... i cant type to save my life today

amistre64 · Answer

what is the (t,P) at t=0?

anonymous · Answer

sorry D; 
it will be (0.0s, 0cm)

amistre64 · Answer

good, now:

what is the (t,P) at t=.3?

anonymous · Answer

(0.30s, 75 cm)

amistre64 · Answer

good, now lets use those to find the slope between them:

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