Question

A linear function includes the ordered pairs (2, 5), (6, 7), and (k, 11). What is the value of k?

Answer 1

Answer:

Step-by-step explanation:

Find the value of k using the slope formula.  First, find the slope between the 2 points for which you have both x's and y's:

$m=\frac{7-5}{6-4}=\frac{2}{2}=1$

We need k to have a value such that when we sub it into the slope formula, the slope between that point and either one of the others is 1.

$1=\frac{11-7}{k-6}$  and

$1=\frac{4}{k-6}$

Cross multiply to get

k - 6 = 4 so

k = 10

Choice B is the one you want.