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.
