Answer:
[tex]k=26/3[/tex]
Step-by-step explanation:
we have
[tex]g(x)=3k-5x[/tex]
we know that
If the graph of g(x) passes through the point (3,11)
then
the ordered pair (3,11) must satisfy the equation g(x)
Substitute
[tex]x=3,g(3)=11[/tex]
[tex]11=3k-5(3)[/tex]
[tex]11=3k-15[/tex]
[tex]3k=11+15[/tex]
[tex]3k=26[/tex]
[tex]3k=26[/tex]
[tex]k=26/3[/tex]
