Answer :
f(x) = 3x - 1 is the linear function for the line represented by the point-slope equation
Solution:
Given point slope equation is:
[tex]y - 5 = 3(x-2)[/tex]
We have to find the linear function for the line
The formula y = mx + b is said to be a linear function
Rearrange the given equation
[tex]y - 5 = 3(x-2)\\\\y - 5 = 3x - 6\\\\Move\ the\ varibale\ y\ to\ one\ side\ and\ constants\ and\ x\ to\ other\ side\\\\y = 3x - 6 + 5\\\\y = 3x - 1[/tex]
Let y = f(x)
Then we get,
f(x) = 3x - 1
Thus the linear function is found