Answer:
[tex]f(x)=3x-10[/tex]
Step-by-step explanation:
Recall point-slope form: Given a point [tex](x_{1}, y_{1})[/tex] and the slope [tex]m[/tex], the equation for the line is [tex]y-y_{1}=m(x-x_{1})[/tex].
We can plug in for our point and slope!
The equation for the line is [tex]y-14=3(x-8)[/tex].
Distributing the right side gives [tex]y-14=3x-24[/tex].
Adding [tex]14[/tex] to both sides gives [tex]y=3x-10[/tex].
So, the function is [tex]\boxed{f(x)=3x-10}[/tex] and we're done!
