For this case we have that by definition, the equation of a line in the point-slope form is given by:
[tex]y-y_ {0} = m (x-x_ {0})[/tex]
Where:
m: It is the slope of the line
[tex](x_ {0}, y_ {0}):[/tex] It is a point through which the line passes
According to the data of the statement we have to:
[tex](x_ {0}, y_ {0}) :( 2, - \frac {1} {2})\\m = 3[/tex]
We replace:
[tex]y - (- \frac {1} {2}) = 3 (x-2)\\y + \frac {1} {2} = 3 (x-2)[/tex]
Answer:
[tex]y + \frac {1} {2} = 3 (x-2)[/tex]
