Given the function K described by K(x)=x+16. find each following.

K(0)=16
K(-13)=3
K(-14)=2
K(8)=24
K(c+17)=C+33

Please check this problem see if is right.

perfect

Find the slope, if it exist, of the line containing the pair of points

The given function K(x) = x + 16 represents a linear function in the form of y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 1 and the y-intercept is 16.

Let's evaluate the function for the given inputs:
1. K(0) = 0 + 16 = 16
2. K(-13) = -13 + 16 = 3
3. K(-14) = -14 + 16 = 2
4. K(8) = 8 + 16 = 24
5. K(c + 17) = (c + 17) + 16 = c + 33

So, the values you provided are correct:
K(0) = 16
K(-13) = 3
K(-14) = 2
K(8) = 24
K(c + 17) = c + 33

To check if the given answers are correct, we can substitute the values into the function K(x) and verify if the results match.

1. K(0) = 0 + 16 = 16. The answer is correct.

2. K(-13) = -13 + 16 = 3. The answer is correct.

3. K(-14) = -14 + 16 = 2. The answer is correct.

4. K(8) = 8 + 16 = 24. The answer is correct.

5. K(c + 17) = c + 17 + 16 = c + 33. So, K(c + 17) simplifies to c + 33. The answer is correct.

Therefore, all the answers are correct.