Given:
The equation of the line passes through the point (1,1) and having a slope of 3.
We need to determine the equation of the line.
Equation of the line:
The equation of the line can be determined using the formula,
[tex]y-y_1=m(x-x_1)[/tex]
Substituting the point (1,1) and the slope m = 3 in the above formula, we get;
[tex]y-1=3(x-1)[/tex]
Simplifying the terms, we get;
[tex]y-1=3x-3[/tex]
Adding both sides of the equation by 1, we get;
[tex]y=3x-2[/tex]
Thus, the equation of the line is [tex]y=3x-2[/tex]
Hence, Option C is the correct answer.
