is this correct?
find the slope
(1,6)
(-6,-5)
-5-6
-6-1=11/7
Looks right to me
Solve using elimination method
2. 2r-7s=-31
7r+2s=24
answer: (230/53,-468/53)
This is one of the elimination problems that i cannot figure out
multiply first one by 7 and second one by 2
14 r - 49 s = -217
14 r + 4 s = 48
------------------- subtract
So I come out with s=169/45 right?
Then I substitute that into one of the equations to get r correct?
-49 - 4 = = -53
-217 -48 = -265
so s = 265/53
s = 5
substitute five back in to get r
No, that is not the correct answer. To find the slope between two points, you can use the formula:
slope = (change in y-coordinates) / (change in x-coordinates)
Let's plug in the values from your question:
The change in y-coordinates is: -5 - 6 = -11
The change in x-coordinates is: -6 - 1 = -7
Now we can calculate the slope:
slope = (-11) / (-7) = 11/7
So the correct slope between the points (1, 6) and (-6, -5) is 11/7.