I was wondering if someone could check over these answers for me.

Find the slope between the set of given points:

a) (3,-6) & (-2,-7)=2.6
b) (7,5) & (7,-4) = -9
c) (0,-5) & (16,-5)= 16

I just wondered if the answers I have are right.

None are right

If you have two points in x,y format, say the two points are (a,c) and (b,d)

then
slope= changeY/changeX or (c-d)/(a-b)

To find the slope between two points, you can use the formula:

slope = (change in y-coordinates) / (change in x-coordinates)

Let's check the answers for each question:

a) (3,-6) & (-2,-7)
The change in y-coordinates = -7 - (-6) = -1
The change in x-coordinates = -2 - 3 = -5
slope = (-1) / (-5) = 1/5 = 0.2

So the correct slope is 0.2, not 2.6. Therefore, the answer for a) is incorrect.

b) (7,5) & (7,-4)
The change in y-coordinates = -4 - 5 = -9
The change in x-coordinates = 7 - 7 = 0
slope = (-9) / (0) = undefined, as division by zero is undefined.

So the correct slope is undefined, not -9. Therefore, the answer for b) is incorrect.

c) (0,-5) & (16,-5)
The change in y-coordinates = -5 - (-5) = 0
The change in x-coordinates = 16 - 0 = 16
slope = 0 / 16 = 0

So the correct slope is 0, which matches your answer for c). Therefore, the answer for c) is correct.