When a line passed through any point then the point is satisfied the equation of that line. The value of k is 0.222.
The given function is [tex]g(x)=9k-4[/tex].
The above function g(x) is passed through the point (7,-2).
Therefore,
When the value of x is at 7, then the functional value the function will be -2.
It is clear that [tex]g(7)=-2[/tex].
Put the value of x=7 in g(x).
[tex]g(7)=9k-4[/tex]
Now, the value of [tex]g(7)=-2[/tex].
Thus,
[tex]-2=9k-4\\9k=2\\k=2/9\\k=0.222[/tex]
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