robbiannb7905 robbiannb7905
  • 25-03-2020
  • Mathematics
contestada

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

A
8

B
10

C
12

D
14

Respuesta :

Luv2Teach
Luv2Teach Luv2Teach
  • 31-03-2020

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:

[tex]m=\frac{7-5}{6-4}=\frac{2}{2}=1[/tex]

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.

[tex]1=\frac{11-7}{k-6}[/tex]  and

[tex]1=\frac{4}{k-6}[/tex]

Cross multiply to get

k - 6 = 4 so

k = 10

Choice B is the one you want.

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