Aline has a slope of between the points (10,5) and (16,n). what is the value of n? 8 2 10 16 6

You missed the value of the slope and that information is needed.

Any way, I can show you how to calculate the answer given a generic value of the slope.

Assuming that the slope values m, you can use the formula:

m = rise / run = change in y / change in x

=> m = (n - 5) / (16 - 10)

=> n - 5 = m (16 - 10)

=> n - 5 = 6m

=> n = 6m + 5

Now I am going to calculate the value of n for several values of the slope (m):

m           n = 6m + 5                   answer

1/2         n = 6(0.5) + 5 = 8          the first option

-1/2        n = 6(-0.5) + 5 = 2          the second option

5/6         n = 6(5/6) + 5 = 10         the third option

11/6        n=6(11/6) + 5 = 16         the fourth option

1/6          n = 6(1/6) + 5 = 6          the fifth option

Now you have the procedure and the answer for several values of the slope, so you do not have problems to answer this question.