SOLUTION: Finding the slope of a line* M=Y2 - Y1 --------- X2 - X1 A= 2,6 D= -3,-3 Please show how to get the answer.

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Question 82663: Finding the slope of a line*
M=Y2 - Y1
---------
X2 - X1

A= 2,6
D= -3,-3 Please show how to get the answer.

Found 2 solutions by jim_thompson5910, josmiceli:
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Finding the slope
To find the slope going from (2,6) to (-3,-3) we are going to calculate the change in y over the change in x, or the rise over the run. The change is the difference between the two coordinates. So if the y-coordinate of a point goes from 6 to -3, the change in these numbers is -9 (since -3-6=-9). If the x-coordinate changes from 2 to -3, then the change is -5 (since -3-2=-5). So to calculate the slope we use this formula:
Slope:

m=%28change_in_y%29%2F%28change_in_x%29=rise%2Frun where m is the slope

So now we let y%5B2%5D=-3,y%5B1%5D=6,x%5B2%5D=-3,x%5B1%5D=2Now plug these numbers into the slope formula:

m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29=%28-3-%286%29%29%2F%28-3-%282%29%29+=+-9%2F-5


So after simplification the slope is m=9%2F5

Answer by josmiceli(6781) About Me  (Show Source):
You can put this solution on YOUR website!
m+=+%28y%5B2%5D+-+y%5B1%5D%29+%2F+%28x%5B2%5D+-+x%5B1%5D%29
A = (2,6)
D = (-3, -3)
This is just a matter of getting the subscripts right (the 1's and 2's)
The given points are going to end up being (x%5B1%5D),(y%5B1%5D)
and (x%5B2%5D),(y%5B2%5D).
You decide and either way it works.
A = (x%5B1%5D),(y%5B1%5D)
D = (x%5B2%5D),(y%5B2%5D)
That will work fine, and also
A = (x%5B2%5D),(y%5B2%5D)
D = (x%5B1%5D),(y%5B1%5D)
That works fine, too
I'll do it both ways to prove it
A = (2,6)
(2,6) = (x%5B1%5D),(y%5B1%5D)
D = (-3, -3)
(-3, -3) = (x%5B2%5D),(y%5B2%5D)
m+=+%28y%5B2%5D+-+y%5B1%5D%29+%2F+%28x%5B2%5D+-+x%5B1%5D%29
m+=+%28-3+-+6%29+%2F+%28-3+-+2%29
m+=+%28-9%29+%2F+%28-5%29
m+=+9%2F5
-----------------------------
Now the other way
A = (2,6)
(2,6) = (x%5B2%5D),(y%5B2%5D)
d = (-3, -3)
(-3, -3) = (x%5B1%5D),(y%5B1%5D)
m+=+%28y%5B2%5D+-+y%5B1%5D%29+%2F+%28x%5B2%5D+-+x%5B1%5D%29
m+=+%286+-+%28-3%29%29+%2F+%282+-+%28-3%29%29
m+=+%286+%2B+3%29+%2F+%282+%2B+3%29
m+=+9%2F5
So, you can't go wrong as long as you keep
straight which point is which. Hope this helps