Answer:
The point slope form of the line is y-1=3(x-2).
Step-by-step explanation:
If a line passes through a points [tex](x_1,y_1)[/tex] with slope m, then the point slope form of the line is
[tex]y-y_1=m(x-x_1)[/tex] .... (1)
where, m is slope.
It is given that the slope of a line is 3 and it passes through the point (2,1).
Substitute m=3, [tex]x_1=2\text{ and } y_1=1[/tex] in equation (1), to find the point slope form of the line.
[tex]y-(1)=(3)(x-(2))[/tex]
[tex]y-1=3(x-2)[/tex]
Therefore the point slope form of the line is y-1=3(x-2).
