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5 votes
A line has a slope of between the points (10,5) and (16,n).

What is the value of n?

8
2
10
16
6

1 Answer

3 votes
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.
User Aleksander Rezen
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